Mathway | Các bài toán phổ biến

Những bài toán phổ biến

Hạng	Chủ đề	Bài toán	Bài toán đã được định dạng
32101	Chia	(k^4+7k^3*(8k^2)+14k+12)/(k^2+2)	$\frac{k^{4} + 7 k^{3} \cdot (8 k^{2}) + 14 k + 12}{k^{2} + 2}$
32102	Chia	(m^-1)/(m^-6)	$\frac{m^{- 1}}{m^{- 6}}$
32103	Chia	(m^2n^2-mn^4)/(mn)	$\frac{m^{2} n^{2} - m n^{4}}{m n}$
32104	Chia	((m^2-64)/(m+9))÷((8-m)/m)	$\frac{m^{2} - 64}{m + 9} \div \frac{8 - m}{m}$
32105	Chia	(m^3-m^2-12m+22)/(m^2+2m-4)	$\frac{m^{3} - m^{2} - 12 m + 22}{m^{2} + 2 m - 4}$
32106	Chia	(m^5n^3p^4)/(m^2np^4)	$\frac{m^{5} n^{3} p^{4}}{m^{2} n p^{4}}$
32107	Chia	((n^2+7n+12)/(16n^2))÷((n+3)/(2n))	$\frac{n^{2} + 7 n + 12}{16 n^{2}} \div \frac{n + 3}{2 n}$
32108	Chia	(n^5+n^2)/(n^2+n)	$\frac{n^{5} + n^{2}}{n^{2} + n}$
32109	Chia	(p^2+2p-43)/(p+8)	$\frac{p^{2} + 2 p - 43}{p + 8}$
32110	Chia	(p^2+2p-59)/(p+9)	$\frac{p^{2} + 2 p - 59}{p + 9}$
32111	Chia	(p^2+2p-7)/(p+5)	$\frac{p^{2} + 2 p - 7}{p + 5}$
32112	Chia	(p^2+3p-25)/(p+7)	$\frac{p^{2} + 3 p - 25}{p + 7}$
32113	Chia	(p^2+4p-6)/(p+6)	$\frac{p^{2} + 4 p - 6}{p + 6}$
32114	Chia	(p^2+4p-8)/(p+6)	$\frac{p^{2} + 4 p - 8}{p + 6}$
32115	Chia	(p^2+6p-19)/(p+9)	$\frac{p^{2} + 6 p - 19}{p + 9}$
32116	Chia	((p^2-10p+pq-10q)/(2p^2-2q^2))÷((p-10)/(7p-7q))	$\frac{p^{2} - 10 p + p q - 10 q}{2 p^{2} - 2 q^{2}} \div \frac{p - 10}{7 p - 7 q}$
32117	Chia	(p^2-16)/(((8pt)/(p^2+12p+32))/(4pt))	$\frac{p^{2} - 16}{\frac{\frac{8 pts}{p^{2} + 12 p + 32}}{4 pts}}$
32118	Chia	(p^2*(4p)-14)/(p+7)	$\frac{p^{2} \cdot (4 p) - 14}{p + 7}$
32119	Chia	((p^3q)/r)÷((pq^4)/(r^5))	$\frac{p^{3} q}{r} \div \frac{p q^{4}}{r^{5}}$
32120	Chia	(p^-6)/(q^-3)	$\frac{p^{- 6}}{q^{- 3}}$
32121	Chia	(p^7)/(p^-1)	$\frac{p^{7}}{p^{- 1}}$
32122	Chia	((q^2-11q+30)/(4q^2-13q^3-35))÷((q^2-4q-12)/(q^2-3q-10))	$\frac{q^{2} - 11 q + 30}{4 q^{2} - 13 q^{3} - 35} \div \frac{q^{2} - 4 q - 12}{q^{2} - 3 q - 10}$
32123	Chia	((q^3r)/3)÷((2p^3q^2)/(6p^2r))	$\frac{q^{3} r}{3} \div \frac{2 p^{3} q^{2}}{6 p^{2} r}$
32124	Chia	(r^2+2r)/(5+r)	$\frac{r^{2} + 2 r}{5 + r}$
32125	Chia	((s^2+5s)/(s^2-s-30))÷((s-3)/(s-6))	$\frac{s^{2} + 5 s}{s^{2} - s - 30} \div \frac{s - 3}{s - 6}$
32126	Chia	(t/s-1)/(t/s)	$\frac{\frac{t}{s} - 1}{\frac{t}{s}}$
32127	Chia	(t^2+t-20)/(2t^2+11t-6)	$\frac{t^{2} + t - 20}{2 t^{2} + 11 t - 6}$
32128	Chia	(a^2b^2-a^4b)/(ab)	$\frac{a^{2} b^{2} - a^{4} b}{a b}$
32129	Chia	(a^2-b^2-2a-2b)/(4a-4b-8)	$\frac{a^{2} - b^{2} - 2 a - 2 b}{4 a - 4 b - 8}$
32130	Chia	(a^2b^4c^3)/(a^6c^2)	$\frac{a^{2} b^{4} c^{3}}{a^{6} c^{2}}$
32131	Chia	(a^2+12a+35)/(a+7)	$\frac{a^{2} + 12 a + 35}{a + 7}$
32132	Chia	((a^2-a-2)/(a^2-a-6))÷((a^2-2a)/(2a+a^2))	$\frac{a^{2} - a - 2}{a^{2} - a - 6} \div \frac{a^{2} - 2 a}{2 a + a^{2}}$
32133	Chia	(-a^3b^2+a^2b^3-6ab^2)/(-27a^2b^3)	$\frac{- a^{3} b^{2} + a^{2} b^{3} - 6 a b^{2}}{- 27 a^{2} b^{3}}$
32134	Chia	(a^3+27)/(a+3)	$\frac{a^{3} + 27}{a + 3}$
32135	Chia	(a^3+7a^2+7a-15)/(a+3)	$\frac{a^{3} + 7 a^{2} + 7 a - 15}{a + 3}$
32136	Chia	(a^5b^6)/(a^3b^7)	$\frac{a^{5} b^{6}}{a^{3} b^{7}}$
32137	Chia	((a+b)/(ab))/((a^2-b^2)/(2a^3b))	$\frac{\frac{a + b}{a b}}{\frac{a^{2} - b^{2}}{2 a^{3} b}}$
32138	Chia	((a+b)/(ab))/(a^2-b^2)	$\frac{\frac{a + b}{a b}}{a^{2} - b^{2}}$
32139	Chia	((b^2-49)/(b^2+3b-28))÷((7-b)/(b^2+4b-32))	$\frac{b^{2} - 49}{b^{2} + 3 b - 28} \div \frac{7 - b}{b^{2} + 4 b - 32}$
32140	Chia	((b+4)/(8/(b-2)))/8	$\frac{\frac{b + 4}{\frac{8}{b - 2}}}{8}$
32141	Chia	(c^2-20c+100)/(c-10)	$\frac{c^{2} - 20 c + 100}{c - 10}$
32142	Chia	((c^(2+3c))/(c^(2+2c-3)))÷(c/(c+1))	$\frac{c^{2 + 3 c}}{c^{2 + 2 c - 3}} \div \frac{c}{c + 1}$
32143	Chia	((c^3)/e)÷((cd^3)/(e^2))	$\frac{c^{3}}{e} \div \frac{c d^{3}}{e^{2}}$
32144	Chia	(((g+3)/(2g-1))/(g^2+3g))/(4g+2)	$\frac{\frac{\frac{g + 3}{2 g - 1}}{g^{2} + 3 g}}{4 g + 2}$
32145	Chia	(((k+1)/(18k))/(5k-1))/(6k)	$\frac{\frac{\frac{k + 1}{18 k}}{5 k - 1}}{6 k}$
32146	Chia	((u^-4v^2)/(w^2s^-4))/((u^-2v^6)/(w^4s^-2))	$\frac{\frac{u^{- 4} v^{2}}{w^{2} s^{- 4}}}{\frac{u^{- 2} v^{6}}{w^{4} s^{- 2}}}$
32147	Chia	((x/(4y))/(4x))/y	$\frac{\frac{\frac{x}{4 y}}{4 x}}{y}$
32148	Chia	((x^2+14x+45)/(x^2+16x+63))/((x^2+5x)/(x^2+15x+56))	$\frac{\frac{x^{2} + 14 x + 45}{x^{2} + 16 x + 63}}{\frac{x^{2} + 5 x}{x^{2} + 15 x + 56}}$
32149	Chia	((x^2+2x-35)/(x^2-25))/((x^2+5x-50)/(x^2+4x-5))	$\frac{\frac{x^{2} + 2 x - 35}{x^{2} - 25}}{\frac{x^{2} + 5 x - 50}{x^{2} + 4 x - 5}}$
32150	Chia	((x^2+4x-5)/(x^2-6x+9))/(1/(x+5))	$\frac{\frac{x^{2} + 4 x - 5}{x^{2} - 6 x + 9}}{\frac{1}{x + 5}}$
32151	Chia	((x^2+6x+8)/(x-6))/((x^2-x-20)/(x-6))	$\frac{\frac{x^{2} + 6 x + 8}{x - 6}}{\frac{x^{2} - x - 20}{x - 6}}$
32152	Chia	((x^2-10x+25)/(4x-20))/((2x-10)/8)	$\frac{\frac{x^{2} - 10 x + 25}{4 x - 20}}{\frac{2 x - 10}{8}}$
32153	Chia	((x^2-14x+45)/(x^2-5x-36))/((x^2*(3x)-10)/(x^2-7x-18))	$\frac{\frac{x^{2} - 14 x + 45}{x^{2} - 5 x - 36}}{\frac{x^{2} \cdot (3 x) - 10}{x^{2} - 7 x - 18}}$
32154	Chia	((x^2-20x+100)/(7x-70))/((6x-60)/42)	$\frac{\frac{x^{2} - 20 x + 100}{7 x - 70}}{\frac{6 x - 60}{42}}$
32155	Chia	((x^2-3x-28)/(x^2-8x+16))/((x-7)/(x-4))	$\frac{\frac{x^{2} - 3 x - 28}{x^{2} - 8 x + 16}}{\frac{x - 7}{x - 4}}$
32156	Chia	((x^2-4)/(21x))/((2-4)/(7xy))	$\frac{\frac{x^{2} - 4}{21 x}}{\frac{2 - 4}{7 x y}}$
32157	Chia	((x^2-7x+10)/(x^2-8x+15))/((4-x^2)/(x^2+3x-18))	$\frac{\frac{x^{2} - 7 x + 10}{x^{2} - 8 x + 15}}{\frac{4 - x^{2}}{x^{2} + 3 x - 18}}$
32158	Chia	((x^2-9)/(x^2+5x-24))/((x^2-5x-24)/(x-3))	$\frac{\frac{x^{2} - 9}{x^{2} + 5 x - 24}}{\frac{x^{2} - 5 x - 24}{x - 3}}$
32159	Chia	((x^3-125)/(x^3+125))/((x^2-25)/(x^2*(5x)+25))	$\frac{\frac{x^{3} - 125}{x^{3} + 125}}{\frac{x^{2} - 25}{x^{2} \cdot (5 x) + 25}}$
32160	Chia	((x^4-16)/(x^3+27))/((x+2)/(2x+6))	$\frac{\frac{x^{4} - 16}{x^{3} + 27}}{\frac{x + 2}{2 x + 6}}$
32161	Chia	((y^2+9y+20)/(y^2+12y+32))/((y^2-13y+42)/(y^2+2y-48))	$\frac{\frac{y^{2} + 9 y + 20}{y^{2} + 12 y + 32}}{\frac{y^{2} - 13 y + 42}{y^{2} + 2 y - 48}}$
32162	Chia	((y^2-25)/y)/((y-5)/(y+7))	$\frac{\frac{y^{2} - 25}{y}}{\frac{y - 5}{y + 7}}$
32163	Chia	((y^2-2y-24)/(y^2-8y+16))/((y-6)/(y-4))	$\frac{\frac{y^{2} - 2 y - 24}{y^{2} - 8 y + 16}}{\frac{y - 6}{y - 4}}$
32164	Chia	(1/( căn bậc hai của (2)+5))/(5(2)+4)	$\frac{\frac{1}{\sqrt{(2) + 5}}}{5 (2) + 4}$
32165	Chia	(1/3x^2+7/10*(xy)-1/3y^2)/(x-2/5y)	$\frac{\frac{1}{3} x^{2} + \frac{7}{10} \cdot (x y) - \frac{1}{3} y^{2}}{x - \frac{2}{5} y}$
32166	Chia	(1/49-1/(x^2))/(1/7+1/x)	$\frac{\frac{1}{49} - \frac{1}{x^{2}}}{\frac{1}{7} + \frac{1}{x}}$
32167	Chia	(1/y)/(9/(-y))	$\frac{\frac{1}{y}}{\frac{9}{- y}}$
32168	Chia	((10a^3)/b)/((4a^5b)/(3b^4))	$\frac{\frac{10 a^{3}}{b}}{\frac{4 a^{5} b}{3 b^{4}}}$
32169	Chia	((10c^3d)/(7ab^2))/((5c^4d^4)/(28b^4))	$\frac{\frac{10 c^{3} d}{7 a b^{2}}}{\frac{5 c^{4} d^{4}}{28 b^{4}}}$
32170	Chia	(11/(x-11))/(1/(x-11)-1/x)	$\frac{\frac{11}{x - 11}}{\frac{1}{x - 11} - \frac{1}{x}}$
32171	Chia	(11^3+11x-38)/(x+2)	$\frac{11^{3} + 11 x - 38}{x + 2}$
32172	Chia	((12a)/(b^2))/((b^3)/3)	$\frac{\frac{12 a}{b^{2}}}{\frac{b^{3}}{3}}$
32173	Chia	(12w^(9^(y^3)))/(-3w^(3^(y^3)))	$\frac{12 w^{9^{y^{3}}}}{- 3 w^{3^{y^{3}}}}$
32174	Chia	(12z^6-21z^4)/(3z^3)	$\frac{12 z^{6} - 21 z^{4}}{3 z^{3}}$
32175	Chia	((15t^2u)/(3rs^3))/((5t^3u^3)/(6s^4))	$\frac{\frac{15 t^{2} u}{3 r s^{3}}}{\frac{5 t^{3} u^{3}}{6 s^{4}}}$
32176	Chia	((15c)/(4b))/((5c^3)/(2bc))	$\frac{\frac{15 c}{4 b}}{\frac{5 c^{3}}{2 b c}}$
32177	Chia	((16x^2y)/(24xy^3))/((9xy)/(8x^2y^2))	$\frac{\frac{16 x^{2} y}{24 x y^{3}}}{\frac{9 x y}{8 x^{2} y^{2}}}$
32178	Chia	(16/(27y))/(8/(15y))	$\frac{\frac{16}{27 y}}{\frac{8}{15 y}}$
32179	Chia	(18^6+6x^3)/x	$\frac{18^{6} + 6 x^{3}}{x}$
32180	Chia	((2x^2+x-21)/(5x^2+12x+7))/((3x-9)/(5x+7))	$\frac{\frac{2 x^{2} + x - 21}{5 x^{2} + 12 x + 7}}{\frac{3 x - 9}{5 x + 7}}$
32181	Chia	((2x^2-10x+12)/(x^2-7x+12))/((2x^2*(16x)+24)/(x^2-6x+8))	$\frac{\frac{2 x^{2} - 10 x + 12}{x^{2} - 7 x + 12}}{\frac{2 x^{2} \cdot (16 x) + 24}{x^{2} - 6 x + 8}}$
32182	Chia	((2y^2-5y-3)/(2y^2-3y-2))/((y^2-2y-3)/(y^2-y-2))	$\frac{\frac{2 y^{2} - 5 y - 3}{2 y^{2} - 3 y - 2}}{\frac{y^{2} - 2 y - 3}{y^{2} - y - 2}}$
32183	Chia	(27x^(3-8))/(3x+2)	$\frac{27 x^{3 - 8}}{3 x + 2}$
32184	Chia	((28x+14)/(45x-30))/((14x+7)/(30x-2))	$\frac{\frac{28 x + 14}{45 x - 30}}{\frac{14 x + 7}{30 x - 2}}$
32185	Chia	((2v-12)/121)/(v-6/33)	$\frac{\frac{2 v - 12}{121}}{v - \frac{6}{33}}$
32186	Chia	((2x+16)/(x-6))/((6x+48)/(5x-30))	$\frac{\frac{2 x + 16}{x - 6}}{\frac{6 x + 48}{5 x - 30}}$
32187	Chia	((2y)/(5x))/((4y^5)/(15xy))	$\frac{\frac{2 y}{5 x}}{\frac{4 y^{5}}{15 x y}}$
32188	Chia	((3rs^3)/(15t^2u))/((6s^4)/(5t^4u^2))	$\frac{\frac{3 r s^{3}}{15 t^{2} u}}{\frac{6 s^{4}}{5 t^{4} u^{2}}}$
32189	Chia	((3x^2)/(2y))/((6xy)/9)	$\frac{\frac{3 x^{2}}{2 y}}{\frac{6 x y}{9}}$
32190	Chia	(3/(t^2)+1)/(5/t-1)	$\frac{\frac{3}{t^{2}} + 1}{\frac{5}{t} - 1}$
32191	Chia	(36a^2b^4c^2)/(3a-2b-3c-1)	$\frac{36 a^{2} b^{4} c^{2}}{3 a - 2 b - 3 c - 1}$
32192	Chia	((3x+3)/(x^2+2x-3))/((x+1)/(x^2+x-2))	$\frac{\frac{3 x + 3}{x^{2} + 2 x - 3}}{\frac{x + 1}{x^{2} + x - 2}}$
32193	Chia	((3x-3)/(x^2+4x+3))/((x-1)/(x^2+5x+6))	$\frac{\frac{3 x - 3}{x^{2} + 4 x + 3}}{\frac{x - 1}{x^{2} + 5 x + 6}}$
32194	Chia	((4p-4)/p)/((9p-9)/(4p^2))	$\frac{\frac{4 p - 4}{p}}{\frac{9 p - 9}{4 p^{2}}}$
32195	Chia	((4-x)/(x^2-16x))/((12-3x)/(x-4))	$\frac{\frac{4 - x}{x^{2} - 16 x}}{\frac{12 - 3 x}{x - 4}}$
32196	Chia	(-(4x)/9)/(-(2x)/3)	$\frac{- \frac{4 x}{9}}{- \frac{2 x}{3}}$
32197	Chia	((4y)/(5a))/((2y)/(15ay))	$\frac{\frac{4 y}{5 a}}{\frac{2 y}{15 a y}}$
32198	Chia	(5/(mp)-9/p+3/m)/(2m^-1-5p^-1)	$\frac{\frac{5}{m p} - \frac{9}{p} + \frac{3}{m}}{2 m^{- 1} - 5 p^{- 1}}$
32199	Chia	(5^3+1)/((6x^7)÷3-5)	$\frac{5^{3} + 1}{6 x^{7} \div 3 - 5}$
32200	Chia	((5a)/51)/(1/17)	$\frac{\frac{5 a}{51}}{\frac{1}{17}}$