Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
7401	بسّط	(7-5x)^2	${(7 - 5 x)}^{2}$
7402	بسّط	(7x^2y^3)^3	${(7 x^{2} y^{3})}^{3}$
7403	بسّط	(7u+w)^2	${(7 u + w)}^{2}$
7404	بسّط	(7x+9)^2	${(7 x + 9)}^{2}$
7405	بسّط	(7y-7)^2	${(7 y - 7)}^{2}$
7406	بسّط	(-6a^5b^3c)^2	${(- 6 a^{5} b^{3} c)}^{2}$
7407	بسّط	(6A^-5Z^4)^-2	${(6 A^{- 5} Z^{4})}^{- 2}$
7408	بسّط	(6+u)^2	${(6 + u)}^{2}$
7409	بسّط	(6a^2b^6)^3	${(6 a^{2} b^{6})}^{3}$
7410	بسّط	(5y-2)^2	${(5 y - 2)}^{2}$
7411	بسّط	(5z)^2	${(5 z)}^{2}$
7412	بسّط	(5x+8y)^2	${(5 x + 8 y)}^{2}$
7413	بسّط	(5x-6y)^2	${(5 x - 6 y)}^{2}$
7414	بسّط	(5xy^2z^-3)^2	${(5 x y^{2} z^{- 3})}^{2}$
7415	بسّط	(5x-1/3)^2	${(5 x - \frac{1}{3})}^{2}$
7416	بسّط	(x^2-16)/(3x-9)*(x-3)/(x^2+2x-8)	$\frac{x^{2} - 16}{3 x - 9} \cdot \frac{x - 3}{x^{2} + 2 x - 8}$
7417	بسّط	(x^2-16)/9*(x^2-x-12)/(x^2-8x+16)	$\frac{x^{2} - 16}{9} \cdot \frac{x^{2} - x - 12}{x^{2} - 8 x + 16}$
7418	بسّط	((x^2-2x)/6)÷((3x-6)/x)	$\frac{x^{2} - 2 x}{6} \div \frac{3 x - 6}{x}$
7419	بسّط	(x^2-12x+32)/(8x)-x^2-8x+16	$\frac{x^{2} - 12 x + 32}{8 x} - x^{2} - 8 x + 16$
7420	بسّط	((x^2+9x+20)/(x^2-25))÷((x+4)/(x-4))	$\frac{x^{2} + 9 x + 20}{x^{2} - 25} \div \frac{x + 4}{x - 4}$
7421	بسّط	(x^2+2x-35)/(x^2-8x+15)	$\frac{x^{2} + 2 x - 35}{x^{2} - 8 x + 15}$
7422	بسّط	(x^2)/(x-7)-(14x-49)/(x-7)	$\frac{x^{2}}{x - 7} - \frac{14 x - 49}{x - 7}$
7423	بسّط	(x^2+7x+6)/(x^2y^4)*(x^3y^3)/(x^2+2x+1)	$\frac{x^{2} + 7 x + 6}{x^{2} y^{4}} \cdot \frac{x^{3} y^{3}}{x^{2} + 2 x + 1}$
7424	بسّط	(x^2-25)/(x^2)*(x^2-5x)/(x^2+4x-45)	$\frac{x^{2} - 25}{x^{2}} \cdot \frac{x^{2} - 5 x}{x^{2} + 4 x - 45}$
7425	بسّط	(x^2-5x+6)/5*15/(x-3)	$\frac{x^{2} - 5 x + 6}{5} \cdot \frac{15}{x - 3}$
7426	بسّط	((x^2-64)/x)÷((x-8)/(x+8))	$\frac{x^{2} - 64}{x} \div \frac{x - 8}{x + 8}$
7427	بسّط	((x^2-4)/(64x))÷((2-x)/(8xy))	$\frac{x^{2} - 4}{64 x} \div \frac{2 - x}{8 x y}$
7428	بسّط	(x^2-49)/(x^2)*(x^2-7x)/(x^2+2x-63)	$\frac{x^{2} - 49}{x^{2}} \cdot \frac{x^{2} - 7 x}{x^{2} + 2 x - 63}$
7429	بسّط	(x^2-5x)/(x^2+3x-4)+(5x-16)/(x^2+3x-4)	$\frac{x^{2} - 5 x}{x^{2} + 3 x - 4} + \frac{5 x - 16}{x^{2} + 3 x - 4}$
7430	بسّط	(x^2+6x+5)/(x+5)	$\frac{x^{2} + 6 x + 5}{x + 5}$
7431	بسّط	(y^9)/(y^2)	$\frac{y^{9}}{y^{2}}$
7432	بسّط	(z^2-16)/(4-z)	$\frac{z^{2} - 16}{4 - z}$
7433	بسّط	(z^2-4)/(z^2)*(z^2-2z)/(z^2+3z-10)	$\frac{z^{2} - 4}{z^{2}} \cdot \frac{z^{2} - 2 z}{z^{2} + 3 z - 10}$
7434	بسّط	(z^2)/(z-2)-(11z-18)/(z-2)	$\frac{z^{2}}{z - 2} - \frac{11 z - 18}{z - 2}$
7435	بسّط	(y^2+15y+50)/(y^2+5y-6)*(y^2+6-7)/(y^2+10y+25)	$\frac{y^{2} + 15 y + 50}{y^{2} + 5 y - 6} \cdot \frac{y^{2} + 6 - 7}{y^{2} + 10 y + 25}$
7436	بسّط	((y^2+3y+2)/(y^2+11y+18))÷((y^2-12y+35)/(y^2+4y-45))	$\frac{y^{2} + 3 y + 2}{y^{2} + 11 y + 18} \div \frac{y^{2} - 12 y + 35}{y^{2} + 4 y - 45}$
7437	بسّط	(x^9)/(x^5)	$\frac{x^{9}}{x^{5}}$
7438	بسّط	(y^2-y)/(x^2-x)	$\frac{y^{2} - y}{x^{2} - x}$
7439	بسّط	(y^11)/(y^5)	$\frac{y^{11}}{y^{5}}$
7440	بسّط	(y^2-18y+80)/(y^2-10y)*y/(8-y)	$\frac{y^{2} - 18 y + 80}{y^{2} - 10 y} \cdot \frac{y}{8 - y}$
7441	بسّط	(y^2-64)/y+(y-8)/(y+8)	$\frac{y^{2} - 64}{y} + \frac{y - 8}{y + 8}$
7442	بسّط	(x^4-1)/(x^4-81)*(x^2+9)/(x^2+1)	$\frac{x^{4} - 1}{x^{4} - 81} \cdot \frac{x^{2} + 9}{x^{2} + 1}$
7443	بسّط	(x^2-9x+14)/x*(x^2)/(x-7)	$\frac{x^{2} - 9 x + 14}{x} \cdot \frac{x^{2}}{x - 7}$
7444	بسّط	((x^3-64)/(x^3+64))÷((x^2-16)/(x^2-4x+16))	$\frac{x^{3} - 64}{x^{3} + 64} \div \frac{x^{2} - 16}{x^{2} - 4 x + 16}$
7445	بسّط	(x^3+64)/(x^2-4x+16)*11/(x^2-16)	$\frac{x^{3} + 64}{x^{2} - 4 x + 16} \cdot \frac{11}{x^{2} - 16}$
7446	بسّط	(x^16)/(x^4)	$\frac{x^{16}}{x^{4}}$
7447	بسّط	((x^2-y^2)/(x+y))÷(x/(x^2+yx))	$\frac{x^{2} - y^{2}}{x + y} \div \frac{x}{x^{2} + y x}$
7448	بسّط	(x^2)/(x^2-36)*(x^2-11z+30)/(x^2-5x)	$\frac{x^{2}}{x^{2} - 36} \cdot \frac{x^{2} - 11 z + 30}{x^{2} - 5 x}$
7449	بسّط	(t^3-4t)/(t-t^4)*(t^4-t)/(4t-t^3)	$\frac{t^{3} - 4 t}{t - t^{4}} \cdot \frac{t^{4} - t}{4 t - t^{3}}$
7450	بسّط	((v^2-2v-3)/(v^2-2v+1))÷((v-3)/(v-1))	$\frac{v^{2} - 2 v - 3}{v^{2} - 2 v + 1} \div \frac{v - 3}{v - 1}$
7451	بسّط	(t^2+4t+3)/(2t^2-t-10)t/(t^2+3t+2)(2t^2+4t^3)/(t^2+3t)	$\frac{t^{2} + 4 t + 3}{2 t^{2} - t - 10} \cdot \frac{t}{t^{2} + 3 t + 2} \cdot \frac{2 t^{2} + 4 t^{3}}{t^{2} + 3 t}$
7452	بسّط	(u^12)/u	$\frac{u^{12}}{u}$
7453	بسّط	(w^2)/(w-12)+(w-156)/(w-12)	$\frac{w^{2}}{w - 12} + \frac{w - 156}{w - 12}$
7454	بسّط	( الجذر التربيعي لـ ab)/2+ الجذر التربيعي لـ a/b	$\frac{\sqrt{a b}}{2} + \sqrt{\frac{a}{b}}$
7455	بسّط	( الجذر التربيعي لـ a- الجذر التربيعي لـ b)/( الجذر التربيعي لـ a+ الجذر التربيعي لـ b)+(a+2 الجذر التربيعي لـ ab+b)/(a-b)	$\frac{\sqrt{a} - \sqrt{b}}{\sqrt{a} + \sqrt{b}} + \frac{a + 2 \sqrt{a b} + b}{a - b}$
7456	بسّط	(x^11)/(x^6)	$\frac{x^{11}}{x^{6}}$
7457	بسّط	(7^(rs^3))/(21r^2s)	$\frac{7^{r s^{3}}}{21 r^{2} s}$
7458	بسّط	(4/(x-1))/(24/(5x-5))	$\frac{\frac{4}{x - 1}}{\frac{24}{5 x - 5}}$
7459	بسّط	(a^2-b^2)/(ab^3)*(a^4b^2)/(a^2b-ab^2)	$\frac{a^{2} - b^{2}}{a b^{3}} \cdot \frac{a^{4} b^{2}}{a^{2} b - a b^{2}}$
7460	بسّط	((a^2+a-6)/(a^2-a-12))÷((a^2-4)/(a^2-16))	$\frac{a^{2} + a - 6}{a^{2} - a - 12} \div \frac{a^{2} - 4}{a^{2} - 16}$
7461	بسّط	(a^2-36)/(4a^2+4ab)*(a^2+2a+ab+2b)/(a^2+8a+12)	$\frac{a^{2} - 36}{4 a^{2} + 4 a b} \cdot \frac{a^{2} + 2 a + a b + 2 b}{a^{2} + 8 a + 12}$
7462	بسّط	(a^4)/a	$\frac{a^{4}}{a}$
7463	بسّط	(5/x-4)/((5-4x)/5)	$\frac{\frac{5}{x} - 4}{\frac{5 - 4 x}{5}}$
7464	بسّط	(8^-7)/(9^-2)	$\frac{8^{- 7}}{9^{- 2}}$
7465	بسّط	-(h^2)/h	$- \frac{h^{2}}{h}$
7466	بسّط	(t^12)/(t^6)	$\frac{t^{12}}{t^{6}}$
7467	بسّط	(s^2-16)/(9s+36)*(27s+108)/(3s^2-24s+48)	$\frac{s^{2} - 16}{9 s + 36} \cdot \frac{27 s + 108}{3 s^{2} - 24 s + 48}$
7468	بسّط	(a^(5x))/(a^(9x))	$\frac{a^{5 x}}{a^{9 x}}$
7469	بسّط	((n^2-5n-14)/(n-7))÷((n^2+10n+16)/(6n))	$\frac{n^{2} - 5 n - 14}{n - 7} \div \frac{n^{2} + 10 n + 16}{6 n}$
7470	بسّط	(3x^2-2x+5)-(2x^2+2x-3)	$(3 x^{2} - 2 x + 5) - (2 x^{2} + 2 x - 3)$
7471	بسّط	(a^7)/(a^5)	$\frac{a^{7}}{a^{5}}$
7472	بسّط	(b^2)/(b+6)-36/(b+6)	$\frac{b^{2}}{b + 6} - \frac{36}{b + 6}$
7473	بسّط	(b^3-8)/(8+3)*(b+2)/(4+2b+b^2)	$\frac{b^{3} - 8}{8 + 3} \cdot \frac{b + 2}{4 + 2 b + b^{2}}$
7474	بسّط	(k^(1/3))/(k^(2/3)k^-1)	$\frac{k^{\frac{1}{3}}}{k^{\frac{2}{3}} k^{- 1}}$
7475	بسّط	((k+5)/(6k))/((5k-3)/(3k))	$\frac{\frac{k + 5}{6 k}}{\frac{5 k - 3}{3 k}}$
7476	بسّط	16/100	$\frac{16}{100}$
7477	بسّط	15/39	$\frac{15}{39}$
7478	بسّط	14/9k+13/9-2k+2/9+2/9k-6	$\frac{14}{9} k + \frac{13}{9} - 2 k + \frac{2}{9} + \frac{2}{9} k - 6$
7479	بسّط	(15x^2)/(21x)	$\frac{15 x^{2}}{21 x}$
7480	بسّط	(14x^2+x-3)/(4x-8)*(x-2)/(49x^2-9)	$\frac{14 x^{2} + x - 3}{4 x - 8} \cdot \frac{x - 2}{49 x^{2} - 9}$
7481	بسّط	14/( الجذر التربيعي لـ 3)	$\frac{14}{\sqrt{3}}$
7482	بسّط	(12/5)÷4d	$\frac{12}{5} \div 4 d$
7483	بسّط	(13/21)÷2 5/7	$\frac{13}{21} \div 2 \frac{5}{7}$
7484	بسّط	-(13y)/20*4/(5y)	$- \frac{13 y}{20} \cdot \frac{4}{5 y}$
7485	بسّط	13/7	$\frac{13}{7}$
7486	بسّط	(12x)/(78x)	$\frac{12 x}{78 x}$
7487	بسّط	(120m^16)/(45m^8)	$\frac{120 m^{16}}{45 m^{8}}$
7488	بسّط	(12a)/b+(7b)/3	$\frac{12 a}{b} + \frac{7 b}{3}$
7489	بسّط	(12x^6)/(-3x^2)	$\frac{12 x^{6}}{- 3 x^{2}}$
7490	بسّط	(-10y-12)/(10y+14)	$\frac{- 10 y - 12}{10 y + 14}$
7491	بسّط	-12/6	$- \frac{12}{6}$
7492	بسّط	11/21a-3/35a	$\frac{11}{21} a - \frac{3}{35} a$
7493	بسّط	10/7k+9/7-2k+2/7+2/7k-6	$\frac{10}{7} k + \frac{9}{7} - 2 k + \frac{2}{7} + \frac{2}{7} k - 6$
7494	بسّط	10/(a-b)-(6b)/(a^2-b^2)	$\frac{10}{a - b} - \frac{6 b}{a^{2} - b^{2}}$
7495	بسّط	(12x^2(3-x))/(18x(3-x))	$\frac{12 x^{2} (3 - x)}{18 x (3 - x)}$
7496	بسّط	105/375	$\frac{105}{375}$
7497	بسّط	-10/33+-14/33	$\frac{- 10}{33} + \frac{- 14}{33}$
7498	بسّط	(100y^41)/(600y^71)	$\frac{100 y^{41}}{600 y^{71}}$
7499	بسّط	10/20	$\frac{10}{20}$
7500	بسّط	1/(x+3)+(3x^2)/(x^2-9)	$\frac{1}{x + 3} + \frac{3 x^{2}}{x^{2} - 9}$