Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
85101	Simplify	(x^2+4x)/(x^2-6x+8)*(x^2-x-2)/(3x^3+12x^2)	$\frac{x^{2} + 4 x}{x^{2} - 6 x + 8} \cdot \frac{x^{2} - x - 2}{3 x^{3} + 12 x^{2}}$
85102	Find the LCD	5 , 10	$5$ , $10$
85103	Find the LCD	5x+10 , 25x^2-100	$5 x + 10$ , $25 x^{2} - 100$
85104	Simplify	(x^2+64)/(x-8)-(16x)/(x-8)	$\frac{x^{2} + 64}{x - 8} - \frac{16 x}{x - 8}$
85105	Find the LCD	5x+15 , x+3	$5 x + 15$ , $x + 3$
85106	Convert to Interval Notation	-8<=2x-4<4	$- 8 \leq 2 x - 4 < 4$
85107	Find the LCD	16 , 12	$16$ , $12$
85108	Simplify	(x^2+8x+16)/(x^2-16)	$\frac{x^{2} + 8 x + 16}{x^{2} - 16}$
85109	Find the LCD	14xy^2 , 21x^2y^3	$14 x y^{2}$ , $21 x^{2} y^{3}$
85110	Simplify	(x^2+7x-30)/(x+10)	$\frac{x^{2} + 7 x - 30}{x + 10}$
85111	Find the LCD	14rs^2 , 21r^2s^3	$14 r s^{2}$ , $21 r^{2} s^{3}$
85112	Simplify	(x^2+x-20)/(2x^2-32)*(2x^2-8x)/(2x^2-50)	$\frac{x^{2} + x - 20}{2 x^{2} - 32} \cdot \frac{2 x^{2} - 8 x}{2 x^{2} - 50}$
85113	Find the LCD	15 , 10	$15$ , $10$
85114	Find the LCD	z/(-x-9) , 4/(x+9)	$\frac{z}{- x - 9}$ , $\frac{4}{x + 9}$
85115	Simplify	(x^(-1/4)x^(3/2))/(x^(1/3))	$\frac{x^{- \frac{1}{4}} x^{\frac{3}{2}}}{x^{\frac{1}{3}}}$
85116	Find the LCD	12 , 9	$12$ , $9$
85117	Simplify	( square root of 45x)/8+ square root of (5x)/16	$\frac{\sqrt{45 x}}{8} + \sqrt{\frac{5 x}{16}}$
85118	Find the LCD	(y+5)/(6y^2-6) , 7/(8y+8)	$\frac{y + 5}{6 y^{2} - 6}$ , $\frac{7}{8 y + 8}$
85119	Find the LCD	18a^4b^2 , 24a^5b^3	$18 a^{4} b^{2}$ , $24 a^{5} b^{3}$
85120	Simplify	cube root of 54x^3- cube root of 16x^3	$\sqrt[3]{54 x^{3}} - \sqrt[3]{16 x^{3}}$
85121	Simplify	cube root of 6w^7* cube root of 4w^5	$\sqrt[3]{6 w^{7}} \cdot \sqrt[3]{4 w^{5}}$
85122	Simplify	cube root of 6xy^3* cube root of 18x^4y	$\sqrt[3]{6 x y^{3}} \cdot \sqrt[3]{18 x^{4} y}$
85123	Simplify	cube root of 16x^4- cube root of 250x	$\sqrt[3]{16 x^{4}} - \sqrt[3]{250 x}$
85124	Find the LCD	(y-3)/(y^2-y-2) , (y+3)/(y^2+4y-12)	$\frac{y - 3}{y^{2} - y - 2}$ , $\frac{y + 3}{y^{2} + 4 y - 12}$
85125	Simplify	cube root of 320	$\sqrt[3]{320}$
85126	Find the LCD	(y-4)/(y^2-y-2) , (y+4)/(y^2+5y-14)	$\frac{y - 4}{y^{2} - y - 2}$ , $\frac{y + 4}{y^{2} + 5 y - 14}$
85127	Simplify	cube root of 24x- cube root of 3x^4	$\sqrt[3]{24 x} - \sqrt[3]{3 x^{4}}$
85128	Find the LCD	(y-5)/(y^2-y-2) , (y+5)/(y^2+3y-10)	$\frac{y - 5}{y^{2} - y - 2}$ , $\frac{y + 5}{y^{2} + 3 y - 10}$
85129	Simplify	cube root of 24xy^3+y cube root of 81x	$\sqrt[3]{24 x y^{3}} + y \sqrt[3]{81 x}$
85130	Find the LCD	z/(z+4) , z/(z-4)	$\frac{z}{z + 4}$ , $\frac{z}{z - 4}$
85131	Simplify	square root of 9xy^2* square root of 4xy	$\sqrt{9 x y^{2}} \cdot \sqrt{4 x y}$
85132	Find the LCD	2/(3x+15) , -2/(7x+35)	$\frac{2}{3 x + 15}$ , $\frac{- 2}{7 x + 35}$
85133	Simplify	3(2x^2+4)-4(x-6)	$3 (2 x^{2} + 4) - 4 (x - 6)$
85134	Find the LCD	2/(a-2) ; 4/(4-a)	$\frac{2}{a - 2}$ ; $\frac{4}{4 - a}$
85135	Find the LCD	2/(x^2-x-6) , x/(2x^2+3x-2)	$\frac{2}{x^{2} - x - 6}$ , $\frac{x}{2 x^{2} + 3 x - 2}$
85136	Simplify	square root of x+15* square root of x-15	$\sqrt{x + 15} \cdot \sqrt{x - 15}$
85137	Find the LCD	25/(28m^2) , 5/(12m-20)	$\frac{25}{28 m^{2}}$ , $\frac{5}{12 m - 20}$
85138	Simplify	square root of x+7* square root of x-7	$\sqrt{x + 7} \cdot \sqrt{x - 7}$
85139	Find the LCD	25/(12m^2) , 5/(12m-20)	$\frac{25}{12 m^{2}}$ , $\frac{5}{12 m - 20}$
85140	Simplify	square root of x-4* square root of x+1	$\sqrt{x - 4} \cdot \sqrt{x + 1}$
85141	Simplify	cube root of x^2* cube root of x^2	$\sqrt[3]{x^{2}} \cdot \sqrt[3]{x^{2}}$
85142	Simplify	fifth root of 160	$\sqrt[5]{160}$
85143	Simplify	square root of 265	$\sqrt{265}$
85144	Find the LCD	-3/(7y) , 21/(3y)	$\frac{- 3}{7 y}$ , $\frac{21}{3 y}$
85145	Find the LCD	3/(4x^2y) , 17/(12xy^4)	$\frac{3}{4 x^{2} y}$ , $\frac{17}{12 x y^{4}}$
85146	Simplify	x/(5x-6)-(x-1)/(7x)	$\frac{x}{5 x - 6} - \frac{x - 1}{7 x}$
85147	Find the LCD	3/(7a^4q) , 10/(343aq^4)	$\frac{3}{7 a^{4} q}$ , $\frac{10}{343 a q^{4}}$
85148	Simplify	x/(8x-7)-(x+2)/(9x)	$\frac{x}{8 x - 7} - \frac{x + 2}{9 x}$
85149	Find the LCD	3/(5x+40) , 7/(x^2+11x+24)	$\frac{3}{5 x + 40}$ , $\frac{7}{x^{2} + 11 x + 24}$
85150	Simplify	x/(x^2-25)-1/(x^2-10x+25)	$\frac{x}{x^{2} - 25} - \frac{1}{x^{2} - 10 x + 25}$
85151	Find the LCD	4/(8x+72) , 8/(x^2+9x)	$\frac{4}{8 x + 72}$ , $\frac{8}{x^{2} + 9 x}$
85152	Simplify	x^3x^4	$x^{3} x^{4}$
85153	Find the LCD	4/(q^3-8) ; q/(q^2-4) ; (7q)/(q^2-2q+4)	$\frac{4}{q^{3} - 8}$ ; $\frac{q}{q^{2} - 4}$ ; $\frac{7 q}{q^{2} - 2 q + 4}$
85154	Find the LCD	(3x-3)/(a^2b) ; (5x)/(ab^2)	$\frac{3 x - 3}{a^{2} b}$ ; $\frac{5 x}{a b^{2}}$
85155	Simplify	x^4(-3x^2)	$x^{4} (- 3 x^{2})$
85156	Find the LCD	(3x-7)/(6x^2-3x) , (7x+1)/(20x^2+4x)	$\frac{3 x - 7}{6 x^{2} - 3 x}$ , $\frac{7 x + 1}{20 x^{2} + 4 x}$
85157	Find the LCD	4/(175m) , 2/(75m-125)	$\frac{4}{175 m}$ , $\frac{2}{75 m - 125}$
85158	Find the LCD	(3xy)/(15x+5y) , (9xy)/(6x+2y)	$\frac{3 x y}{15 x + 5 y}$ , $\frac{9 x y}{6 x + 2 y}$
85159	Simplify	x^2=64	$x^{2} = 64$
85160	Find the LCD	4/(3x) , 5/(6x+18)	$\frac{4}{3 x}$ , $\frac{5}{6 x + 18}$
85161	Find the LCD	(3x+1)/(x^2+6x-7) , (7x)/(x^2+5x-6)	$\frac{3 x + 1}{x^{2} + 6 x - 7}$ , $\frac{7 x}{x^{2} + 5 x - 6}$
85162	Simplify	x^2-4x+5	$x^{2} - 4 x + 5$
85163	Find the LCD	(3x+1)/(3x-1) , (3x)/(6x+2)	$\frac{3 x + 1}{3 x - 1}$ , $\frac{3 x}{6 x + 2}$
85164	Simplify	x^2-2x-24	$x^{2} - 2 x - 24$
85165	Find the LCD	(3x)/(9+8x-x^2) , (2x-1)/(81-x^2)	$\frac{3 x}{9 + 8 x - x^{2}}$ , $\frac{2 x - 1}{81 - x^{2}}$
85166	Simplify	x^2-3x-28	$x^{2} - 3 x - 28$
85167	Find the LCD	(3x)/(x^2-16) , (2x)/(4x-16)	$\frac{3 x}{x^{2} - 16}$ , $\frac{2 x}{4 x - 16}$
85168	Find the LCD	3/(x+1) , x/(x-2)	$\frac{3}{x + 1}$ , $\frac{x}{x - 2}$
85169	Simplify	x^(2-x-12)	$x^{2 - x - 12}$
85170	Find the LCD	3/(x-b) , 11/(b-x)	$\frac{3}{x - b}$ , $\frac{11}{b - x}$
85171	Simplify	x^2-x-12	$x^{2} - x - 12$
85172	Find the LCD	(7x)/(x+2) , 5/(2x)	$\frac{7 x}{x + 2}$ , $\frac{5}{2 x}$
85173	Simplify	x^14*x	$x^{14} \cdot x$
85174	Find the LCD	8/(15r^5) , 13/(12r^3)	$\frac{8}{15 r^{5}}$ , $\frac{13}{12 r^{3}}$
85175	Simplify	x^-12	$x^{- 12}$
85176	Simplify	x^(7/9)	$x^{\frac{7}{9}}$
85177	Find the LCD	x/(x^2-9) , 6/x , 9/(12-4x)	$\frac{x}{x^{2} - 9}$ , $\frac{6}{x}$ , $\frac{9}{12 - 4 x}$
85178	Simplify	x^(-3/5)*x^(8/5)	$x^{- \frac{3}{5}} \cdot x^{\frac{8}{5}}$
85179	Find the LCD	x/(x^2-9) , 4/x , 9/(12-4x)	$\frac{x}{x^{2} - 9}$ , $\frac{4}{x}$ , $\frac{9}{12 - 4 x}$
85180	Simplify	x^(2/9)*x^(5/18)	$x^{\frac{2}{9}} \cdot x^{\frac{5}{18}}$
85181	Find the LCD	x/(x^2-9) , 3/x , 3/(15-5x)	$\frac{x}{x^{2} - 9}$ , $\frac{3}{x}$ , $\frac{3}{15 - 5 x}$
85182	Simplify	x^(-3/2)*x^(5/2)	$x^{- \frac{3}{2}} \cdot x^{\frac{5}{2}}$
85183	Find the LCD	x/(x^2-9) , 3/x , 7/(15-5x)	$\frac{x}{x^{2} - 9}$ , $\frac{3}{x}$ , $\frac{7}{15 - 5 x}$
85184	Simplify	x^(1/3)x^(1/3)x^(1/3)	$x^{\frac{1}{3}} \cdot x^{\frac{1}{3}} \cdot x^{\frac{1}{3}}$
85185	Simplify	x^2+4x-5	$x^{2} + 4 x - 5$
85186	Find the LCD	x/(x^2-4) , (5x)/(x^2-7x+10)	$\frac{x}{x^{2} - 4}$ , $\frac{5 x}{x^{2} - 7 x + 10}$
85187	Find the LCD	x/(x^2-4) , 6/x , 9/(10-5x)	$\frac{x}{x^{2} - 4}$ , $\frac{6}{x}$ , $\frac{9}{10 - 5 x}$
85188	Simplify	x^2+3x-4	$x^{2} + 3 x - 4$
85189	Find the LCD	x/(x^2-4) , 4/x , 5/(12-6x)	$\frac{x}{x^{2} - 4}$ , $\frac{4}{x}$ , $\frac{5}{12 - 6 x}$
85190	Solve Using the Quadratic Formula	x^2-140=-19	$x^{2} - 140 = - 19$
85191	Find the LCD	x/(x^2-4) , 4/x , 2/(10-5x)	$\frac{x}{x^{2} - 4}$ , $\frac{4}{x}$ , $\frac{2}{10 - 5 x}$
85192	Simplify	(x+3)/(10x+20)*(x+2)/(x^2+4x+3)	$\frac{x + 3}{10 x + 20} \cdot \frac{x + 2}{x^{2} + 4 x + 3}$
85193	Simplify	(x+1)/(x-2)*(x-3)/(x+2)	$\frac{x + 1}{x - 2} \cdot \frac{x - 3}{x + 2}$
85194	Find the LCD	x/(x^2-9) , 6/x , 7/(18-6x)	$\frac{x}{x^{2} - 9}$ , $\frac{6}{x}$ , $\frac{7}{18 - 6 x}$
85195	Simplify	x^5x^3	$x^{5} x^{3}$
85196	Find the LCD	x/(x^2+2x+1) , -5/(x^2+6x+5)	$\frac{x}{x^{2} + 2 x + 1}$ , $\frac{- 5}{x^{2} + 6 x + 5}$
85197	Find the LCD	x/(x^2+3x) , (2x)/(x^2-3x)	$\frac{x}{x^{2} + 3 x}$ , $\frac{2 x}{x^{2} - 3 x}$
85198	Find the LCD	x/(9-x) , (2x+1)/(x^2-2x-63)	$\frac{x}{9 - x}$ , $\frac{2 x + 1}{x^{2} - 2 x - 63}$
85199	Find the Inverse	y=(x-3)^2+7	$y = {(x - 3)}^{2} + 7$
85200	Simplify	(y+4)/(y^2+6y+5)-7/(y^2-1)	$\frac{y + 4}{y^{2} + 6 y + 5} - \frac{7}{y^{2} - 1}$