Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
42801	Simplify	square root of 36x^14	$\sqrt{36 x^{14}}$
42802	Solve by Graphing	x-y=3 2x+y=5	$x - y = 3$ $2 x + y = 5$
42803	Simplify	1/( square root of 2x)	$\frac{1}{\sqrt{2 x}}$
42804	Simplify	1/( cube root of 9x)	$\frac{1}{\sqrt[3]{9 x}}$
42805	Simplify	(1+1/x)/(1-1/(x^2))	$\frac{1 + \frac{1}{x}}{1 - \frac{1}{x^{2}}}$
42806	Simplify	(12z^2+7z-12)/(3z^2-2z-8)	$\frac{12 z^{2} + 7 z - 12}{3 z^{2} - 2 z - 8}$
42807	Simplify	(6y^10-3y^6+4y^3+8y)/(3y^3)	$\frac{6 y^{10} - 3 y^{6} + 4 y^{3} + 8 y}{3 y^{3}}$
42808	Simplify	8/( square root of 63x)	$\frac{8}{\sqrt{63 x}}$
42809	Simplify	(8x-16)/(x^2-13x+22)	$\frac{8 x - 16}{x^{2} - 13 x + 22}$
42810	Simplify	5/( square root of 7x)	$\frac{5}{\sqrt{7 x}}$
42811	Simplify	(4x-12)/(x^2-9)	$\frac{4 x - 12}{x^{2} - 9}$
42812	Simplify	4/( square root of 2y)	$\frac{4}{\sqrt{2 y}}$
42813	Simplify	cube root of y^2*0	$\sqrt[3]{y^{20}}$
42814	Simplify	(a^2-25)/(a^2+7a+10)	$\frac{a^{2} - 25}{a^{2} + 7 a + 10}$
42815	Simplify	( cube root of 6x^2y^4)/(2 cube root of 5x^7y)	$\frac{\sqrt[3]{6 x^{2} y^{4}}}{2 \sqrt[3]{5 x^{7} y}}$
42816	Solve by Graphing	y=11x-6 , y=-6x+11	$y = 11 x - 6$ , $y = - 6 x + 11$
42817	Simplify	( square root of a)/( square root of a+ square root of b)	$\frac{\sqrt{a}}{\sqrt{a} + \sqrt{b}}$
42818	Simplify	( square root of x)/( square root of 6y^3)	$\frac{\sqrt{x}}{\sqrt{6 y^{3}}}$
42819	Solve by Graphing	y=3x+3 y=-x-3	$y = 3 x + 3$ $y = - x - 3$
42820	Simplify	( square root of x^4y)/( fourth root of x^2y^8)	$\frac{\sqrt{x^{4} y}}{\sqrt[4]{x^{2} y^{8}}}$
42821	Simplify	(x^3-1)/(x-1)	$\frac{x^{3} - 1}{x - 1}$
42822	Simplify	(x^2+x-6)/(x^2-x-2)	$\frac{x^{2} + x - 6}{x^{2} - x - 2}$
42823	Simplify	(x^-3+y^-3)/(x^-2+y^-2)	$\frac{x^{- 3} + y^{- 3}}{x^{- 2} + y^{- 2}}$
42824	Simplify	(x^2+4x-45)/(x^2+10x+9)	$\frac{x^{2} + 4 x - 45}{x^{2} + 10 x + 9}$
42825	Simplify	( cube root of 81)/( cube root of 3)	$\frac{\sqrt[3]{81}}{\sqrt[3]{3}}$
42826	Solve for x	square root of 2x+1=3 square root of x-1	$\sqrt{2 x + 1} = 3 \sqrt{x - 1}$
42827	Multiply	-8x^2(-10x^4+9x^3)	$- 8 x^{2} (- 10 x^{4} + 9 x^{3})$
42828	Solve for x	\|x^2-10x\|=25	$\| x^{2} - 10 x \| = 25$
42829	Multiply	12*4	$12 \cdot 4$
42830	Multiply	25*5	$25 \cdot 5$
42831	Multiply	12*3	$12 \cdot 3$
42832	Solve by Graphing	y=x^2-6x+8 2y+x=4	$y = x^{2} - 6 x + 8$ $2 y + x = 4$
42833	Simplify	square root of 80x^2	$\sqrt{80 x^{2}}$
42834	Solve by Graphing	y=x^2-6x-7 , x-y=1	$y = x^{2} - 6 x - 7$ , $x - y = 1$
42835	Simplify	( square root of 2- square root of 7)^2	${(\sqrt{2} - \sqrt{7})}^{2}$
42836	Multiply	( square root of 2+9)( square root of 2-9)	$(\sqrt{2} + 9) (\sqrt{2} - 9)$
42837	Solve by Graphing	y=x-1 y=3x+1	$y = x - 1$ $y = 3 x + 1$
42838	Multiply	( square root of 11+5)( square root of 11-5)	$(\sqrt{11} + 5) (\sqrt{11} - 5)$
42839	Multiply	( square root of 7+4)( square root of 7-4)	$(\sqrt{7} + 4) (\sqrt{7} - 4)$
42840	Solve by Graphing	y=x-2 y=-2x+7	$y = x - 2$ $y = - 2 x + 7$
42841	Multiply	( square root of 6+5)( square root of 6-5)	$(\sqrt{6} + 5) (\sqrt{6} - 5)$
42842	Solve for x	-9<-1+4x<15	$- 9 < - 1 + 4 x < 15$
42843	Multiply	(3 square root of x- square root of 3)(3 square root of x+ square root of 3)	$(3 \sqrt{x} - \sqrt{3}) (3 \sqrt{x} + \sqrt{3})$
42844	Multiply	(x^2+x+5)(x-5)	$(x^{2} + x + 5) (x - 5)$
42845	Multiply	(2x+4)^2	${(2 x + 4)}^{2}$
42846	Multiply	(5x-6)^2	${(5 x - 6)}^{2}$
42847	Multiply	(4x-y)^2	${(4 x - y)}^{2}$
42848	Multiply	(4x-9)^2	${(4 x - 9)}^{2}$
42849	Find Where Undefined/Discontinuous	(2/x+9/y)/(9x+2y)	$\frac{\frac{2}{x} + \frac{9}{y}}{9 x + 2 y}$
42850	Multiply	(5x-y)^2	${(5 x - y)}^{2}$
42851	Find Where Undefined/Discontinuous	(x/7-1)/(x-7)	$\frac{\frac{x}{7} - 1}{x - 7}$
42852	Find Where Undefined/Discontinuous	(x^2-10x-24)/(x^2-3x-108)	$\frac{(x^{2} - 10 x - 24)}{x^{2} - 3 x - 108}$
42853	Multiply	(x-2)(x-2)	$(x - 2) (x - 2)$
42854	Multiply	(x-2)(x-3)	$(x - 2) (x - 3)$
42855	Multiply	(x-4)(x-4)	$(x - 4) (x - 4)$
42856	Multiply	(x+3)(x+1)(x-4)	$(x + 3) (x + 1) (x - 4)$
42857	Find Where Undefined/Discontinuous	2/(15-3y)	$\frac{2}{15 - 3 y}$
42858	Multiply	(x+7)(x+5)	$(x + 7) (x + 5)$
42859	Multiply	(v+ square root of z)(v- square root of z)	$(v + \sqrt{z}) (v - \sqrt{z})$
42860	Find Where Undefined/Discontinuous	(27z^3-27)/(3z-3)	$\frac{27 z^{3} - 27}{3 z - 3}$
42861	Find Where Undefined/Discontinuous	(2z^2-288)/(z^2-9z-36)	$\frac{2 z^{2} - 288}{z^{2} - 9 z - 36}$
42862	Multiply	(4x-3)(4x+3)	$(4 x - 3) (4 x + 3)$
42863	Find Where Undefined/Discontinuous	(32-2y^2)/(5y^2-80)	$\frac{32 - 2 y^{2}}{5 y^{2} - 80}$
42864	Find Where Undefined/Discontinuous	(3x)/(1-3x)	$\frac{3 x}{1 - 3 x}$
42865	Find Where Undefined/Discontinuous	(3x)/(2x^2+11x-6)	$\frac{3 x}{2 x^{2} + 11 x - 6}$
42866	Find Where Undefined/Discontinuous	4/(3x)	$\frac{4}{3 x}$
42867	Solve for y	7y+5=6y+11	$7 y + 5 = 6 y + 11$
42868	Find Where Undefined/Discontinuous	(48-3n^2)/(n^2+n-20)	$\frac{48 - 3 n^{2}}{n^{2} + n - 20}$
42869	Simplify	1/(x-3)+4/(x^2-2x-3)	$\frac{1}{x - 3} + \frac{4}{x^{2} - 2 x - 3}$
42870	Find the Domain	f(x)=-x-2 , g(x)=2 , f+g	$f (x) = - x - 2$ , $g (x) = 2$ , $f + g$
42871	Find Where Undefined/Discontinuous	(5a)/(3a-2)	$\frac{5 a}{3 a - 2}$
42872	Factor	xy^3-x^3y	$x y^{3} - x^{3} y$
42873	Find Where Undefined/Discontinuous	((6n+42)/(n^3-18n^2+81n))÷((n^2+14n+49)/(9n^4))	$\frac{6 n + 42}{n^{3} - 18 n^{2} + 81 n} \div \frac{n^{2} + 14 n + 49}{9 n^{4}}$
42874	Graph	y=x^2-9x+18	$y = x^{2} - 9 x + 18$
42875	Find Where Undefined/Discontinuous	(6xyz)/(2xy-y)*(2x^2-7x+3)/(3xz-9z)	$\frac{6 x y z}{2 x y - y} \cdot \frac{2 x^{2} - 7 x + 3}{3 x z - 9 z}$
42876	Find Where Undefined/Discontinuous	(6y^2+10y)/(2y^2-14y)	$\frac{6 y^{2} + 10 y}{2 y^{2} - 14 y}$
42877	Divide	x/(x+6)	$\frac{x}{x + 6}$
42878	Divide	x/(x+2)	$\frac{x}{x + 2}$
42879	Solve for x	3^(2x-1)=7	$3^{2 x - 1} = 7$
42880	Find Where Undefined/Discontinuous	8/(7x)	$\frac{8}{7 x}$
42881	Divide	(5x+15)/(5x-15)	$\frac{5 x + 15}{5 x - 15}$
42882	Divide	(6x^4-4x^3+5)/(-6x^4)	$\frac{6 x^{4} - 4 x^{3} + 5}{- 6 x^{4}}$
42883	Find Where Undefined/Discontinuous	(8z^3-8)/(2z-2)	$\frac{8 z^{3} - 8}{2 z - 2}$
42884	Divide	(3-x)/(x-3)	$\frac{3 - x}{x - 3}$
42885	Divide	3/(2i)	$\frac{3}{2 i}$
42886	Find Where Undefined/Discontinuous	x/(x(x-1))	$\frac{x}{x (x - 1)}$
42887	Divide	3/(-i)	$\frac{3}{- i}$
42888	Find Where Undefined/Discontinuous	x/(x(x-7))	$\frac{x}{x (x - 7)}$
42889	Divide	(3x^2-11x-4)/(x-4)	$\frac{3 x^{2} - 11 x - 4}{x - 4}$
42890	Divide	(24xy^2)/(3xy)	$\frac{24 x y^{2}}{3 x y}$
42891	Find Where Undefined/Discontinuous	(x^2-10x+24)/(x^2-16)*(x^2+5x+4)/(x^2-5x-6)	$\frac{x^{2} - 10 x + 24}{x^{2} - 16} \cdot \frac{x^{2} + 5 x + 4}{x^{2} - 5 x - 6}$
42892	Evaluate	5/(2+2 square root of 6)	$\frac{5}{2 + 2 \sqrt{6}}$
42893	Find Where Undefined/Discontinuous	(x^2-4)/(4x^2-12x)*(2x+4)/(-x^2+5x-6)	$\frac{x^{2} - 4}{4 x^{2} - 12 x} \cdot \frac{2 x + 4}{- x^{2} + 5 x - 6}$
42894	Find Where Undefined/Discontinuous	(x^2-400)/(x-20)	$\frac{x^{2} - 400}{x - 20}$
42895	Evaluate	(3- square root of 3)/(4-2 square root of 3)	$\frac{3 - \sqrt{3}}{4 - 2 \sqrt{3}}$
42896	Find Where Undefined/Discontinuous	(x^2-64)/(x-8)	$\frac{x^{2} - 64}{x - 8}$
42897	Evaluate	7/( cube root of 3)	$\frac{7}{\sqrt[3]{3}}$
42898	Find Where Undefined/Discontinuous	(x^2-9x+18)/(x^2-9)*(x^2+4x+3)/(x^2-5x-6)	$\frac{x^{2} - 9 x + 18}{x^{2} - 9} \cdot \frac{x^{2} + 4 x + 3}{x^{2} - 5 x - 6}$
42899	Find the Domain	x=-1	$x = - 1$
42900	Find Where Undefined/Discontinuous	(x+7)/(x^2+x-30)	$\frac{x + 7}{x^{2} + x - 30}$