Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
59701	بسّط	(c^3+3c^2-4c)/(-3c^2-c+4)	$\frac{c^{3} + 3 c^{2} - 4 c}{- 3 c^{2} - c + 4}$
59702	بسّط	(c^-4)/c	$\frac{c^{- 4}}{c}$
59703	بسّط	(c^5y^3)/(c^2+13x+42)*(c^2+4c-21)/(c^9y^2)	$\frac{c^{5} y^{3}}{c^{2} + 13 x + 42} \cdot \frac{c^{2} + 4 c - 21}{c^{9} y^{2}}$
59704	بسّط	((c+3)/(c^2-4))/((7c+21)/(5c^2+10c))	$\frac{\frac{c + 3}{c^{2} - 4}}{\frac{7 c + 21}{5 c^{2} + 10 c}}$
59705	بسّط	(cy^3)/(12d^3k^3)-(4w)/(9cd^2)	$\frac{c y^{3}}{12 d^{3} k^{3}} - \frac{4 w}{9 c d^{2}}$
59706	بسّط	(d^2-4d)/(d-4)	$\frac{d^{2} - 4 d}{d - 4}$
59707	بسّط	(a^3+a^2+a+b)/(3a^3+3a)*(18a^2)/(9a^2-9b^2)	$\frac{a^{3} + a^{2} + a + b}{3 a^{3} + 3 a} \cdot \frac{18 a^{2}}{9 a^{2} - 9 b^{2}}$
59708	بسّط	(a^3+b^3)/(ab^2)+(a+b)/a	$\frac{a^{3} + b^{3}}{a b^{2}} + \frac{a + b}{a}$
59709	بسّط	(a^3+27)/(a+3)	$\frac{a^{3} + 27}{a + 3}$
59710	بسّط	(a^3-a+30)/(a-6)	$\frac{a^{3} - a + 30}{a - 6}$
59711	بسّط	(a^3b)/(ab^2)	$\frac{a^{3} b}{a b^{2}}$
59712	بسّط	(a^33+1)/(a^11-a^22+a^33)	$\frac{a^{33} + 1}{a^{11} - a^{22} + a^{33}}$
59713	بسّط	(a^4*a^6)/(a^2)	$\frac{a^{4} \cdot a^{6}}{a^{2}}$
59714	بسّط	(a^4*(10a^3))/(a^2)	$\frac{a^{4} \cdot (10 a^{3})}{a^{2}}$
59715	بسّط	(a^4-a^3+5a^2+3a-6)/(a-3)	$\frac{a^{4} - a^{3} + 5 a^{2} + 3 a - 6}{a - 3}$
59716	بسّط	(a^4b^-3)/(ab^-2)	$\frac{a^{4} b^{- 3}}{a b^{- 2}}$
59717	بسّط	(a^4b^-6)/((a^3b^-2)^-3)	$\frac{a^{4} b^{- 6}}{{(a^{3} b^{- 2})}^{- 3}}$
59718	بسّط	(a^4)/(a^5)	$\frac{a^{4}}{a^{5}}$
59719	بسّط	(a^4)/(b^4)*((3b^5)/(a^4)+(5b^7)/(a^2))	$\frac{a^{4}}{b^{4}} \cdot (\frac{3 b^{5}}{a^{4}} + \frac{5 b^{7}}{a^{2}})$
59720	بسّط	(a^(4-4))/(a^2+2)	$\frac{a^{4 - 4}}{a^{2} + 2}$
59721	بسّط	(a^5-a^2)/(b^3)*(c^4)/(a^2)	$\frac{a^{5} - a^{2}}{b^{3}} \cdot \frac{c^{4}}{a^{2}}$
59722	بسّط	(a^5)/(a^2)	$\frac{a^{5}}{a^{2}}$
59723	بسّط	(a^5)/(a^3b)	$\frac{a^{5}}{a^{3} b}$
59724	بسّط	(a^5)/(a^9)	$\frac{a^{5}}{a^{9}}$
59725	بسّط	(a^5-12a^4)/(3a^4)	$\frac{a^{5} - 12 a^{4}}{3 a^{4}}$
59726	بسّط	(a^6b^-3)/((ab)^-2)	$\frac{a^{6} b^{- 3}}{{(a b)}^{- 2}}$
59727	بسّط	(a^6)/(a^2)	$\frac{a^{6}}{a^{2}}$
59728	بسّط	(a^-6)/(a^3)	$\frac{a^{- 6}}{a^{3}}$
59729	بسّط	(a^-7b^8)/(a^7b^-2)	$\frac{a^{- 7} b^{8}}{a^{7} b^{- 2}}$
59730	بسّط	16-10 1/4	$16 - 10 \frac{1}{4}$
59731	بسّط	(a^7b)/(a^5b^6)	$\frac{a^{7} b}{a^{5} b^{6}}$
59732	بسّط	(a^9a^-2)/a	$\frac{a^{9} a^{- 2}}{a}$
59733	اطرح	5-9	$5 - 9$
59734	بسّط	(a^n)/(a^m)	$\frac{a^{n}}{a^{m}}$
59735	بسّط	((a+b)/(ab))/((a^2b^2)/(4a^3b))	$\frac{\frac{a + b}{a b}}{\frac{a^{2} b^{2}}{4 a^{3} b}}$
59736	بسّط	(ab^2o^4)/(bc^3)	$\frac{a b^{2} o^{4}}{b c^{3}}$
59737	بسّط	((az)/(3y))/((5z)/(7b))	$\frac{\frac{a z}{3 y}}{\frac{5 z}{7 b}}$
59738	بسّط	(b^(2/5)b^(1/5))/(-b^(-2/5))	$\frac{b^{\frac{2}{5}} b^{\frac{1}{5}}}{- b^{- \frac{2}{5}}}$
59739	بسّط	(b^10)/(9n^8z^4)	$\frac{b^{10}}{9 n^{8} z^{4}}$
59740	بسّط	(b^11)/b	$\frac{b^{11}}{b}$
59741	بسّط	(b^-2)/(b^-3)(a^-1)/(a^-2)t/(t-1)	$\frac{b^{- 2}}{b^{- 3}} \cdot \frac{a^{- 1}}{a^{- 2}} \cdot \frac{t}{t - 1}$
59742	بسّط	(-b^2)/2*(2b)	$\frac{- b^{2}}{2} \cdot (2 b)$
59743	بسّط	((b^2)/(81b^2-64))÷(b/(72b+64))	$\frac{b^{2}}{81 b^{2} - 64} \div \frac{b}{72 b + 64}$
59744	بسّط	(b^2)/(b-2)-(8b-12)/(b-2)	$\frac{b^{2}}{b - 2} - \frac{8 b - 12}{b - 2}$
59745	بسّط	(b^2+3b-4)/(b^2-4b+4)*(b+4)/(b-3)	$\frac{b^{2} + 3 b - 4}{b^{2} - 4 b + 4} \cdot \frac{b + 4}{b - 3}$
59746	بسّط	((b^2+3b-4)/(b^2-4b+4))÷((b+4)/(b-3))	$\frac{b^{2} + 3 b - 4}{b^{2} - 4 b + 4} \div \frac{b + 4}{b - 3}$
59747	بسّط	((b^2+4b+4)/(b+2))÷((b^2-4)/(b-2))	$\frac{b^{2} + 4 b + 4}{b + 2} \div \frac{b^{2} - 4}{b - 2}$
59748	بسّط	(b^2+6b-41)/(b+8)	$\frac{b^{2} + 6 b - 41}{b + 8}$
59749	بسّط	((b^2+6b-7)/(6b^2-7b-20)*((2b^2+b-15)/(b^2+2b-3)))÷((b^2+5b-14)/(3b^2-2b-8))	$\frac{b^{2} + 6 b - 7}{6 b^{2} - 7 b - 20} \cdot (\frac{2 b^{2} + b - 15}{b^{2} + 2 b - 3}) \div \frac{b^{2} + 5 b - 14}{3 b^{2} - 2 b - 8}$
59750	بسّط	(b^2-16)/(b^2)*(5b)/(b^2+2b-24)	$\frac{b^{2} - 16}{b^{2}} \cdot \frac{5 b}{b^{2} + 2 b - 24}$
59751	بسّط	(b^2-2b-8)/(b-6)*(b-6)	$\frac{b^{2} - 2 b - 8}{b - 6} \cdot (b - 6)$
59752	بسّط	((b^2-4)/(6b-2)*(3b-1)/(b^2-2b))÷(b+2)	$\frac{b^{2} - 4}{6 b - 2} \cdot \frac{3 b - 1}{b^{2} - 2 b} \div (b + 2)$
59753	بسّط	(b^2-5b)/(b^2+3b)*(b+3)/(b-5)	$\frac{b^{2} - 5 b}{b^{2} + 3 b} \cdot \frac{b + 3}{b - 5}$
59754	بسّط	((b^2-9b+20)/(b^2-10b+24))÷((b^2+4b)/(b^2-2b-24))	$\frac{b^{2} - 9 b + 20}{b^{2} - 10 b + 24} \div \frac{b^{2} + 4 b}{b^{2} - 2 b - 24}$
59755	بسّط	((b^(2-25))/(b^2+b-10))÷((5-b)/(b^2+5b-14))	$\frac{b^{2 - 25}}{b^{2} + b - 10} \div \frac{5 - b}{b^{2} + 5 b - 14}$
59756	بسّط	(b^3a^4y^6)/(b^7a)	$\frac{b^{3} a^{4} y^{6}}{b^{7} a}$
59757	بسّط	(b^4a^23)/(b^2a^5)	$\frac{b^{4} a^{23}}{b^{2} a^{5}}$
59758	بسّط	(b^4a^6)/(b^5a^2)	$\frac{b^{4} a^{6}}{b^{5} a^{2}}$
59759	بسّط	(b^9)/(b^2)	$\frac{b^{9}}{b^{2}}$
59760	بسّط	((b-a)/(72a-45b))/((a-b)/(64a-40b))	$\frac{\frac{b - a}{72 a - 45 b}}{\frac{a - b}{64 a - 40 b}}$
59761	بسّط	(e^-0.564*0.564)/(1!)	$\frac{e^{- 0.564} \cdot 0.564}{1!}$
59762	بسّط	(e^-0.564*0.564^2)/(2!)	$\frac{e^{- 0.564} \cdot {0.564}^{2}}{2!}$
59763	بسّط	(e^-0.588*0.588^2)/(2!)	$\frac{e^{- 0.588} \cdot {0.588}^{2}}{2!}$
59764	بسّط	(e^-1.068*1.068^2)/(2!)	$\frac{e^{- 1.068} \cdot {1.068}^{2}}{2!}$
59765	بسّط	(e^-3.1*3.1^0)/(0!)	$\frac{e^{- 3.1} \cdot {3.1}^{0}}{0!}$
59766	بسّط	(e^36+1)/4	$\frac{e^{36} + 1}{4}$
59767	بسّط	((e+3)/(e-3))/((e-4)/(e+8))	$\frac{\frac{e + 3}{e - 3}}{\frac{e - 4}{e + 8}}$
59768	بسّط	(f^6)/23*95	$\frac{f^{6}}{23} \cdot 95$
59769	بسّط	(g^-1a^4b^4)/(g^-2a^9y^4)*(y^5)/(a^2b^(-1/2))	$\frac{g^{- 1} a^{4} b^{4}}{g^{- 2} a^{9} y^{4}} \cdot \frac{y^{5}}{a^{2} b^{- \frac{1}{2}}}$
59770	بسّط	((g^2-64)/(49g-392))÷((g-8)/56)	$\frac{g^{2} - 64}{49 g - 392} \div \frac{g - 8}{56}$
59771	بسّط	(g^3h^2)/(2g^4h)*(4g^2h^5)/(3g^4h^3)	$\frac{g^{3} h^{2}}{2 g^{4} h} \cdot \frac{4 g^{2} h^{5}}{3 g^{4} h^{3}}$
59772	بسّط	(g^4)/(d^-2)	$\frac{g^{4}}{d^{- 2}}$
59773	بسّط	(h^6)/(h^3*h^-5)	$\frac{h^{6}}{h^{3} \cdot h^{- 5}}$
59774	بسّط	(i^16)/(i^3)	$\frac{i^{16}}{i^{3}}$
59775	بسّط	(j^2+7j-44)/(j-4)	$\frac{j^{2} + 7 j - 44}{j - 4}$
59776	بسّط	(k^2)/((k+1)(k-1))-(2k^2-k-3)/((k+1)(k+2))	$\frac{k^{2}}{(k + 1) (k - 1)} - \frac{2 k^{2} - k - 3}{(k + 1) (k + 2)}$
59777	بسّط	(k^2+10k+21)/(k+3)	$\frac{k^{2} + 10 k + 21}{k + 3}$
59778	بسّط	(k^2+13k+36)/(k^2+17k+72)*(k^2+8k)/(k^2-3k-28)	$\frac{k^{2} + 13 k + 36}{k^{2} + 17 k + 72} \cdot \frac{k^{2} + 8 k}{k^{2} - 3 k - 28}$
59779	بسّط	(k^2+4k+3)/(4k-4)*(k-1)/(k^2-k-2)	$\frac{k^{2} + 4 k + 3}{4 k - 4} \cdot \frac{k - 1}{k^{2} - k - 2}$
59780	بسّط	(k^2+9k+20)/(k^2+14k+45)*(k^2+9k)/(k^2-5k-36)	$\frac{k^{2} + 9 k + 20}{k^{2} + 14 k + 45} \cdot \frac{k^{2} + 9 k}{k^{2} - 5 k - 36}$
59781	بسّط	(k^2-2k-35)/(k^2+8+15)*(k^3-9k)/(k^3-27)	$\frac{k^{2} - 2 k - 35}{k^{2} + 8 + 15} \cdot \frac{k^{3} - 9 k}{k^{3} - 27}$
59782	بسّط	(k^2-3k+2)/(k^2-12k+20)	$\frac{k^{2} - 3 k + 2}{k^{2} - 12 k + 20}$
59783	بسّط	((k^2-5k+4)/(2k-8))÷(3k^2-3k)	$\frac{k^{2} - 5 k + 4}{2 k - 8} \div (3 k^{2} - 3 k)$
59784	بسّط	(k^2-6k-7)/(k^2+k)*(k^2+5k+6)/(k^2-5k-14)	$\frac{k^{2} - 6 k - 7}{k^{2} + k} \cdot \frac{k^{2} + 5 k + 6}{k^{2} - 5 k - 14}$
59785	بسّط	((k^2-k)/(k^2-1))÷((k+1)/(k^2+2k+1))	$\frac{k^{2} - k}{k^{2} - 1} \div \frac{k + 1}{k^{2} + 2 k + 1}$
59786	بسّط	(k^3-k^2-42k)/(2k^2-20k+42)	$\frac{k^{3} - k^{2} - 42 k}{2 k^{2} - 20 k + 42}$
59787	بسّط	(k^-4)/2	$\frac{k^{- 4}}{2}$
59788	بسّط	(m/(m-1))/(1/m)	$\frac{\frac{m}{m - 1}}{\frac{1}{m}}$
59789	بسّط	(m^(3/4)n^(-3/4))/((m^2n)^(1/2))	$\frac{m^{\frac{3}{4}} n^{- \frac{3}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
59790	بسّط	(m^10)/(d^3)	$\frac{m^{10}}{d^{3}}$
59791	بسّط	(m^2-n^2)/(m^2n^2)*(mn)/1	$\frac{m^{2} - n^{2}}{m^{2} n^{2}} \cdot \frac{m n}{1}$
59792	بسّط	((m^2-n^2)/(m+n))÷(m/(m^2+mn))	$\frac{m^{2} - n^{2}}{m + n} \div \frac{m}{m^{2} + m n}$
59793	بسّط	(m^2+16m+64)/(m+9)*(m-4)/(4-m)	$\frac{m^{2} + 16 m + 64}{m + 9} \cdot \frac{m - 4}{4 - m}$
59794	بسّط	(m^2+2mn+n^2)/(2m^2+2mn)*(m-n)/(m^2-n^2)	$\frac{m^{2} + 2 m n + n^{2}}{2 m^{2} + 2 m n} \cdot \frac{m - n}{m^{2} - n^{2}}$
59795	بسّط	((m^2+5am)/(3c))÷((2m^2-50a^2)/(6m-30a))	$\frac{m^{2} + 5 a m}{3 c} \div \frac{2 m^{2} - 50 a^{2}}{6 m - 30 a}$
59796	بسّط	(m^2+5m+6)/(m+3)*(m^2+m-6)/(m^2+3m+2)	$\frac{m^{2} + 5 m + 6}{m + 3} \cdot \frac{m^{2} + m - 6}{m^{2} + 3 m + 2}$
59797	بسّط	(m^2-11m)/(m-5)+30/(m-5)	$\frac{m^{2} - 11 m}{m - 5} + \frac{30}{m - 5}$
59798	بسّط	((m^2-16)/(5m))÷(m+4)	$\frac{m^{2} - 16}{5 m} \div (m + 4)$
59799	بسّط	(m^2-7m)/(m-2)+10/(m-2)	$\frac{m^{2} - 7 m}{m - 2} + \frac{10}{m - 2}$
59800	بسّط	((m^2-7m+12)/(2m^2-3m-2))÷((3m-9)/(-10m-5))	$\frac{m^{2} - 7 m + 12}{2 m^{2} - 3 m - 2} \div \frac{3 m - 9}{- 10 m - 5}$