Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36601	Simplify	(a^3b^7)(a^4b^2)	$(a^{3} b^{7}) (a^{4} b^{2})$
36602	Simplify	(a^4)(a^5)	$(a^{4}) (a^{5})$
36603	Simplify	(a^5+2a^3-4a^2+8)÷(a-2)	$(a^{5} + 2 a^{3} - 4 a^{2} + 8) \div (a - 2)$
36604	Simplify	a^5-1+(a^5+1)	$a^{5} - 1 + (a^{5} + 1)$
36605	Simplify	(a^6-a^5)÷(a^5)	$(a^{6} - a^{5}) \div a^{5}$
36606	Simplify	(a^-6b^-5)(a^-5b^-8)	$(a^{- 6} b^{- 5}) (a^{- 5} b^{- 8})$
36607	Simplify	(a^6b^6)(a^7b^4)	$(a^{6} b^{6}) (a^{7} b^{4})$
36608	Simplify	(a^8b^7)(a^2b^8)	$(a^{8} b^{7}) (a^{2} b^{8})$
36609	Simplify	-(A-AB)/A	$- \frac{A - A B}{A}$
36610	Simplify	((a-y)/(a-2y))-((a+y)/(a+2y))	$(\frac{a - y}{a - 2 y}) - (\frac{a + y}{a + 2 y})$
36611	Simplify	b/b	$\frac{b}{b}$
36612	Simplify	b^(-5/2)a^(1/2)	$b^{- \frac{5}{2}} a^{\frac{1}{2}}$
36613	Simplify	(b^2+3)(b^2-3)	$(b^{2} + 3) (b^{2} - 3)$
36614	Simplify	(b^30-b^5)(b^30+b^5)	$(b^{30} - b^{5}) (b^{30} + b^{5})$
36615	Simplify	b^6+6b^3-b^2+(3b^2+5b)	$b^{6} + 6 b^{3} - b^{2} + (3 b^{2} + 5 b)$
36616	Simplify	c^2-6c-16	$c^{2} - 6 c - 16$
36617	Simplify	((c-2)/(c+2)-c/(c-2))(c+2)/(2-3c)	$(\frac{c - 2}{c + 2} - \frac{c}{c - 2}) \cdot \frac{c + 2}{2 - 3 \cdot c}$
36618	Simplify	(-d^2+19d-8)-(-5d^2-6d+12)	$(- d^{2} + 19 d - 8) - (- 5 d^{2} - 6 d + 12)$
36619	Simplify	-(-e^2-4)+2e^2-7e+3	$- (- e^{2} - 4) + 2 e^{2} - 7 e + 3$
36620	Simplify	(f^5)(f^2)	$(f^{5}) (f^{2})$
36621	Simplify	(h^2)(h^5)	$(h^{2}) (h^{5})$
36622	Simplify	(h^2-5h+6)(3-h)	$(h^{2} - 5 h + 6) (3 - h)$
36623	Simplify	(h^3-3h^2+5)÷(h-1)	$(h^{3} - 3 h^{2} + 5) \div (h - 1)$
36624	Simplify	(h^4+9h^3+14n^2+50n+9)÷(n+8)	$(h^{4} + 9 h^{3} + 14 n^{2} + 50 n + 9) \div (n + 8)$
36625	Simplify	i^124	$i^{124}$
36626	Simplify	(k^-4)(k^4)	$(k^{- 4}) (k^{4})$
36627	Simplify	(m/n-n/m)*((m+n)/(m-n)-(m-n)/(m+n))	$(\frac{m}{n} - \frac{n}{m}) \cdot (\frac{m + n}{m - n} - \frac{m - n}{m + n})$
36628	Simplify	m^(3/4)	$m^{\frac{3}{4}}$
36629	Simplify	(m^2+2m-3)*(3m-2)	$(m^{2} + 2 m - 3) \cdot (3 m - 2)$
36630	Simplify	(m^2-3m+4)(2m-3)(3m^2+5m-1)	$(m^{2} - 3 m + 4) (2 m - 3) (3 m^{2} + 5 m - 1)$
36631	Simplify	(m^3-p^3)÷(m-p)	$(m^{3} - p^{3}) \div (m - p)$
36632	Simplify	(-m^4)(6m^6)	$(- m^{4}) (6 m^{6})$
36633	Simplify	(mn^2-p)(mn^2-p)	$(m n^{2} - p) (m n^{2} - p)$
36634	Simplify	(n^2+9n+18)(n+3)	$(n^{2} + 9 n + 18) (n + 3)$
36635	Simplify	(n^2-2)(n^2+1)	$(n^{2} - 2) (n^{2} + 1)$
36636	Simplify	(n^2-6n-4)(2n-4)	$(n^{2} - 6 n - 4) (2 n - 4)$
36637	Simplify	(-n^3-13+6n^5)-(4n+8n^5-5)	$(- n^{3} - 13 + 6 n^{5}) - (4 n + 8 n^{5} - 5)$
36638	Simplify	(-p^2)(-p^2)	$(- p^{2}) (- p^{2})$
36639	Simplify	p^2-7p+p^2*(2p)	$p^{2} - 7 p + p^{2} \cdot (2 p)$
36640	Simplify	(p^3-4p^2+p)-(3p^2+2p+7)	$(p^{3} - 4 p^{2} + p) - (3 p^{2} + 2 p + 7)$
36641	Simplify	(p^4q^9)÷(p^2)q^6	$p^{4} q^{9} \div p^{2} q^{6}$
36642	Simplify	(p^5+q^3)(p^5+q^3)	$(p^{5} + q^{3}) (p^{5} + q^{3})$
36643	Simplify	(q^2+4)(q^2-4)(q-2)+2q(q^3+8)	$(q^{2} + 4) (q^{2} - 4) (q - 2) + 2 q (q^{3} + 8)$
36644	Simplify	(r^3s^-1)(r^-9s^6)	$(r^{3} s^{- 1}) (r^{- 9} s^{6})$
36645	Simplify	(r^3s^2)(r^4s^4t)	$(r^{3} s^{2}) (r^{4} s^{4} t)$
36646	Simplify	(r^3t^4)(r^4t^4)	$(r^{3} t^{4}) (r^{4} t^{4})$
36647	Simplify	(r^4-r^2+4)÷(r^2-r+2)	$(r^{4} - r^{2} + 4) \div (r^{2} - r + 2)$
36648	Simplify	((rts)/(rs))-(1/s)+s/(r(r-s))	$(\frac{r t s}{r s}) - (\frac{1}{s}) + \frac{s}{r (r - s)}$
36649	Simplify	(t^2)-2t^2-5	$(t^{2}) - 2 t^{2} - 5$
36650	Simplify	-t^2+4t-3+(6t^2+5t+2)	$- t^{2} + 4 t - 3 + (6 t^{2} + 5 t + 2)$
36651	Simplify	t^2-16t-128	$t^{2} - 16 t - 128$
36652	Simplify	(u/(3u))(u/4)	$(\frac{u}{3 u}) (\frac{u}{4})$
36653	Simplify	(u^2)u^(1/2)	$(u^{2}) u^{\frac{1}{2}}$
36654	Simplify	-u^2+4u-10+(5u^3-2u^2+6)	$- u^{2} + 4 u - 10 + (5 u^{3} - 2 u^{2} + 6)$
36655	Simplify	(u^3w^-1)((u^-4v)/(3w^-3))^2	$(u^{3} w^{- 1}) {(\frac{u^{- 4} v}{3 w^{- 3}})}^{2}$
36656	Simplify	(uv^2-2a)(uv^2+2a)	$(u v^{2} - 2 a) (u v^{2} + 2 a)$
36657	Simplify	(uv^3)(-2u^3vw^2)^-3	$(u v^{3}) {(- 2 u^{3} v w^{2})}^{- 3}$
36658	Simplify	(uv^8)(u^5v)	$(u v^{8}) (u^{5} v)$
36659	Simplify	( square root of 2- square root of 3)( square root of 8+ square root of 7)	$(\sqrt{2} - \sqrt{3}) (\sqrt{8} + \sqrt{7})$
36660	Simplify	( square root of 2+ square root of 3)( square root of 2- square root of 3)	$(\sqrt{2 + \sqrt{3}}) (\sqrt{2 - \sqrt{3}})$
36661	Simplify	( square root of 3+ square root of 5)( square root of 3- square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3 - \sqrt{5}})$
36662	Simplify	( square root of 7+3)( square root of 14-3)	$(\sqrt{7 + 3}) (\sqrt{14} - 3)$
36663	Simplify	( square root of a+1)-( square root of a-1)	$(\sqrt{a + 1}) - (\sqrt{a - 1})$
36664	Simplify	( square root of b-b/( square root of b+1))*(b-1)/( square root of b)	$(\sqrt{b} - \frac{b}{\sqrt{b} + 1}) \cdot \frac{b - 1}{\sqrt{b}}$
36665	Simplify	(v^2+av-bv-cv)(v-b)	$(v^{2} + a v - b v - c v) (v - b)$
36666	Simplify	(v^2-4v-45)÷(v+3)	$(v^{2} - 4 v - 45) \div (v + 3)$
36667	Simplify	(v^3+5v^2-7)-(4v^3-v^2+3v-9)	$(v^{3} + 5 v^{2} - 7) - (4 v^{3} - v^{2} + 3 v - 9)$
36668	Simplify	( cube root of 5+ fourth root of 2)( square root of 5+ square root of 2)	$(\sqrt[3]{5} + \sqrt[4]{2}) (\sqrt{5} + \sqrt{2})$
36669	Simplify	( cube root of a-1)*( cube root of a+1)	$(\sqrt[3]{a} - 1) \cdot (\sqrt[3]{a} + 1)$
36670	Simplify	( fourth root of ab^2)*( fourth root of 27ab)	$(\sqrt[4]{a b^{2}}) \cdot (\sqrt[4]{27 a b})$
36671	Simplify	( fourth root of y^2)*( fourth root of y^2)	$(\sqrt[4]{y^{2}}) \cdot (\sqrt[4]{y^{2}})$
36672	Simplify	(w^2+5w-24)(w+8)	$(w^{2} + 5 w - 24) (w + 8)$
36673	Simplify	(w^2-2w+6)-(-3w^2+5w+7)	$(w^{2} - 2 w + 6) - (- 3 w^{2} + 5 w + 7)$
36674	Simplify	(w^2-3w+2)-(6w^2+8)	$(w^{2} - 3 w + 2) - (6 w^{2} + 8)$
36675	Simplify	(w^2-4w+1)(3w^2+3w-5)	$(w^{2} - 4 w + 1) (3 w^{2} + 3 w - 5)$
36676	Simplify	(w^-3)*7	$(w^{- 3}) \cdot 7$
36677	Simplify	(w^3-5w^2+18w-12)÷(w-3)	$(w^{3} - 5 w^{2} + 18 w - 12) \div (w - 3)$
36678	Simplify	((y^(-3/5))*1)/4	$\frac{(y^{- \frac{3}{5}}) \cdot 1}{4}$
36679	Simplify	(y^(5/7))(y^(1/3))	$(y^{\frac{5}{7}}) (y^{\frac{1}{3}})$
36680	Simplify	(y^2+12)(y^2-12)	$(y^{2} + 12) (y^{2} - 12)$
36681	Simplify	(y^2+z)(y^2-z)	$(y^{2} + z) (y^{2} - z)$
36682	Simplify	(y^2-2y)-(12y^2+8y+10)	$(y^{2} - 2 y) - (12 y^{2} + 8 y + 10)$
36683	Simplify	(y^2-3)(7y)	$(y^{2} - 3) (7 y)$
36684	Simplify	(y^2-3y-33)÷(y+4)	$(y^{2} - 3 y - 33) \div (y + 4)$
36685	Simplify	y^2-4+(y^2+4y-2)	$y^{2} - 4 + (y^{2} + 4 y - 2)$
36686	Simplify	(y^2-49)*9/(y-7)	$(y^{2} - 49) \cdot \frac{9}{y - 7}$
36687	Simplify	(y^2-5y-3)-(2y^2-6y-8)	$(y^{2} - 5 y - 3) - (2 y^{2} - 6 y - 8)$
36688	Simplify	(y^2-7y-5)-(-3y^2+3y-4)	$(y^{2} - 7 y - 5) - (- 3 y^{2} + 3 y - 4)$
36689	Simplify	1-0.95	$1 - 0.95$
36690	Simplify	(y^2-y+3)(y+2)	$(y^{2} - y + 3) (y + 2)$
36691	Simplify	((y^3)*1)/6	$\frac{(y^{3}) \cdot 1}{6}$
36692	Simplify	(y^3-20y^2+102y-23)(y-10)	$(y^{3} - 20 y^{2} + 102 y - 23) (y - 10)$
36693	Simplify	(y^4-7)(y^4-4)	$(y^{4} - 7) (y^{4} - 4)$
36694	Simplify	(y^n)(y^(n+1))	$(y^{n}) (y^{n + 1})$
36695	Simplify	(z/( square root of z+7)-49/( square root of z+7))*3	$(\frac{z}{\sqrt{z} + 7} - \frac{49}{\sqrt{z} + 7}) \cdot 3$
36696	Simplify	((z/(z+4)+(6z+6)/(z^2+3z-4))(z^2+3z-4))/(z^2+4z+3)	$\frac{(\frac{z}{z + 4} + \frac{6 z + 6}{z^{2} + 3 z - 4}) (z^{2} + 3 z - 4)}{z^{2} + 4 z + 3}$
36697	Simplify	(z^7y^4)(z^13y)	$(z^{7} y^{4}) (z^{13} y)$
36698	Simplify	(12)*(2)	$(12) \cdot (2)$
36699	Simplify	40-5	$40 - 5$
36700	Simplify	(0.05a^3-0.04a^2+0.07a)-(0.02a^3+0.06a^2-6)	$(0.05 a^{3} - 0.04 a^{2} + 0.07 a) - (0.02 a^{3} + 0.06 a^{2} - 6)$