Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
85001	Simplify	(6x+5y)^2	${(6 x + 5 y)}^{2}$
85002	Find the Vertex Form	f(x)=2x^2-20x-1	$f (x) = 2 x^{2} - 20 x - 1$
85003	Find the Vertex Form	f(x)=2x^2-16x+32	$f (x) = 2 x^{2} - 16 x + 32$
85004	Simplify	(6+i)^2	${(6 + i)}^{2}$
85005	Find the Vertex Form	f(x)=-2x^2-4x-7	$f (x) = - 2 x^{2} - 4 x - 7$
85006	Find the Vertex Form	f(x)=2x^2-x+2	$f (x) = 2 x^{2} - x + 2$
85007	Simplify	(x+4)^4	${(x + 4)}^{4}$
85008	Simplify	-(x-2)^2	$- {(x - 2)}^{2}$
85009	Find the Vertex Form	f(x)=-3x^2+15x+71	$f (x) = - 3 x^{2} + 15 x + 71$
85010	Simplify	(x-5y)^2	${(x - 5 y)}^{2}$
85011	Simplify	(y+1)^2	${(y + 1)}^{2}$
85012	Find the Vertex Form	f(x)=3x^2+12x+16	$f (x) = 3 x^{2} + 12 x + 16$
85013	Simplify	(-y)^2	${(- y)}^{2}$
85014	Find the Vertex Form	f(x)=3x^2+12x-9	$f (x) = 3 x^{2} + 12 x - 9$
85015	Find the Vertex Form	f(x)=3x^2+30x+72	$f (x) = 3 x^{2} + 30 x + 72$
85016	Simplify	((x^(1/3))^2)/((x^2)^(8/3))	$\frac{{(x^{\frac{1}{3}})}^{2}}{{(x^{2})}^{\frac{8}{3}}}$
85017	Find the Vertex Form	f(x)=3x^2+30x+74	$f (x) = 3 x^{2} + 30 x + 74$
85018	Simplify	((x^(2/3))^2)/((x^2)^(4/3))	$\frac{{(x^{\frac{2}{3}})}^{2}}{{(x^{2})}^{\frac{4}{3}}}$
85019	Find the Vertex Form	f(x)=-3x^2-24x-47	$f (x) = - 3 x^{2} - 24 x - 47$
85020	Find the Vertex Form	f(x)=-3x^2-9x+26	$f (x) = - 3 x^{2} - 9 x + 26$
85021	Simplify	((x^(1/3))^2)/((x^3)^(7/3))	$\frac{{(x^{\frac{1}{3}})}^{2}}{{(x^{3})}^{\frac{7}{3}}}$
85022	Find the Vertex Form	f(x)=3x^2-14x+10	$f (x) = 3 x^{2} - 14 x + 10$
85023	Find the Vertex Form	f(x)=3x^2-10x+3	$f (x) = 3 x^{2} - 10 x + 3$
85024	Simplify	((2y^(1/5))^4)/(y^(3/10))	$\frac{{(2 y^{\frac{1}{5}})}^{4}}{y^{\frac{3}{10}}}$
85025	Find the Vertex Form	s(x)=x^2-10x+21	$s (x) = x^{2} - 10 x + 21$
85026	Find the Vertex Form	s(x)=-3x^2-24x-46	$s (x) = - 3 x^{2} - 24 x - 46$
85027	Simplify	((2z^(1/5))^4)/(z^(1/20))	$\frac{{(2 z^{\frac{1}{5}})}^{4}}{z^{\frac{1}{20}}}$
85028	Find the Vertex Form	s(x)=-3x^2-6x-2	$s (x) = - 3 x^{2} - 6 x - 2$
85029	Simplify	((25x)^(3/2))/(5*x^(1/2))	$\frac{{(25 x)}^{\frac{3}{2}}}{5 \cdot x^{\frac{1}{2}}}$
85030	Find the Vertex Form	p(x)=21+24x+6x^2	$p (x) = 21 + 24 x + 6 x^{2}$
85031	Simplify	((3y^(1/3))^2)/(y^(1/6))	$\frac{{(3 y^{\frac{1}{3}})}^{2}}{y^{\frac{1}{6}}}$
85032	Find the Vertex Form	P(x)=2x^2-7x+2	$P (x) = 2 x^{2} - 7 x + 2$
85033	Simplify	(((x+9)^2)/(x-9))/((x^2-81)/(9x-81))	$\frac{\frac{{(x + 9)}^{2}}{x - 9}}{\frac{x^{2} - 81}{9 x - 81}}$
85034	Find the Vertex Form	q(x)=2x^2-4x-7	$q (x) = 2 x^{2} - 4 x - 7$
85035	Simplify	(a^2-b^2)/(2a+2b)*(a^2-ab)/((b-a)^2)	$\frac{a^{2} - b^{2}}{2 a + 2 b} \cdot \frac{a^{2} - a b}{{(b - a)}^{2}}$
85036	Find the Vertex Form	q(x)=x^2+4x+3	$q (x) = x^{2} + 4 x + 3$
85037	Simplify	(n^4-11n^2+30)/(n^4-7n^2+10)	$\frac{n^{4} - 11 n^{2} + 30}{n^{4} - 7 n^{2} + 10}$
85038	Find the Vertex Form	q(x)=x^2+9x+17	$q (x) = x^{2} + 9 x + 17$
85039	Simplify	(k^2-k-2)/(k^2-4k-5)	$\frac{k^{2} - k - 2}{k^{2} - 4 k - 5}$
85040	Find the Vertex Form	P(x)=x^2-6x-3	$P (x) = x^{2} - 6 x - 3$
85041	Simplify	(m^2+7m+12)/(m^2+6m+8)	$\frac{m^{2} + 7 m + 12}{m^{2} + 6 m + 8}$
85042	Simplify	(27^(-2/3))/(27^(-1/3))	$\frac{27^{- \frac{2}{3}}}{27^{- \frac{1}{3}}}$
85043	Find the Vertex Form	g(x)=3x^2+18x+23	$g (x) = 3 x^{2} + 18 x + 23$
85044	Find the Vertex Form	g(x)=-3x^2+30x-74	$g (x) = - 3 x^{2} + 30 x - 74$
85045	Simplify	(2/x+6)/(1/y)	$\frac{\frac{2}{x} + 6}{\frac{1}{y}}$
85046	Simplify	((18x-6)/(9x^5))/((15x+5)/(21x^2))	$\frac{\frac{18 x - 6}{9 x^{5}}}{\frac{15 x + 5}{21 x^{2}}}$
85047	Find the Vertex Form	g(x)=x^2-10x	$g (x) = x^{2} - 10 x$
85048	Solve for x	square root of 3x+10=x+4	$\sqrt{3 x} + 10 = x + 4$
85049	Find the Vertex Form	g(x)=x^2+6x+8	$g (x) = x^{2} + 6 x + 8$
85050	Simplify	(24py-8y^3-13q^2)-(2py-15y^3+17q^2)	$(24 p y - 8 y^{3} - 13 q^{2}) - (2 p y - 15 y^{3} + 17 q^{2})$
85051	Find the Vertex Form	m(x)=x^2+10x+16	$m (x) = x^{2} + 10 x + 16$
85052	Simplify	1/x+1/(x^2)	$\frac{1}{x} + \frac{1}{x^{2}}$
85053	Find the Vertex Form	k(x)=x^2+6x+5	$k (x) = x^{2} + 6 x + 5$
85054	Find the Vertex Form	h(x)=x^2+6x+8	$h (x) = x^{2} + 6 x + 8$
85055	Find the Vertex Form	h(x)=x^2-4x+1	$h (x) = x^{2} - 4 x + 1$
85056	Simplify	1/(a^2b^-3)*(a^2b^-3)^-1	$\frac{1}{a^{2} b^{- 3}} \cdot {(a^{2} b^{- 3})}^{- 1}$
85057	Find the Vertex Form	f(x)=x^2-10x+18	$f (x) = x^{2} - 10 x + 18$
85058	Simplify	cube root of 24xy^3-y cube root of 81x	$\sqrt[3]{24 x y^{3}} - y \sqrt[3]{81 x}$
85059	Find the Vertex Form	f(x)=x^2-12x+44	$f (x) = x^{2} - 12 x + 44$
85060	Simplify	1/2x^(-1/2)	$\frac{1}{2} x^{- \frac{1}{2}}$
85061	Find the Vertex Form	f(x)=x^2-10x+95	$f (x) = x^{2} - 10 x + 95$
85062	Find the Vertex Form	f(x)=-x^2+8x+9	$f (x) = - x^{2} + 8 x + 9$
85063	Simplify	(2m^-4)/((2m^-4)^3)	$\frac{2 m^{- 4}}{{(2 m^{- 4})}^{3}}$
85064	Simplify	(-2u^3y)/(15xz^5)*(25x^3)/(14u^2y^2)	$\frac{- 2 u^{3} y}{15 x z^{5}} \cdot \frac{25 x^{3}}{14 u^{2} y^{2}}$
85065	Find the Vertex Form	f(x)=x^2+8x+1	$f (x) = x^{2} + 8 x + 1$
85066	Simplify	(2x^4y^-4z^-3)/(3x^2y^-3z^4)	$\frac{2 x^{4} y^{- 4} z^{- 3}}{3 x^{2} y^{- 3} z^{4}}$
85067	Find the Vertex Form	f(x)=-x^2-4x-6	$f (x) = - x^{2} - 4 x - 6$
85068	Simplify	(2x^3-16)/(6x^2+6x-36)*(9x+18)/(3x^2+6x+12)	$\frac{2 x^{3} - 16}{6 x^{2} + 6 x - 36} \cdot \frac{9 x + 18}{3 x^{2} + 6 x + 12}$
85069	Find the Vertex Form	f(x)=-x^2-2x+4	$f (x) = - x^{2} - 2 x + 4$
85070	Find the Vertex Form	f(x)=x^2-14x+54	$f (x) = x^{2} - 14 x + 54$
85071	Simplify	(2(p+6))/4*(p-3)/(2(p-3))	$\frac{2 (p + 6)}{4} \cdot \frac{p - 3}{2 (p - 3)}$
85072	Find the Vertex Form	f(x)=x^2-16x+63	$f (x) = x^{2} - 16 x + 63$
85073	Simplify	19/(y+2)-(7y)/(y^2-4)	$\frac{19}{y + 2} - \frac{7 y}{y^{2} - 4}$
85074	Find the Vertex Form	f(x)=x^2-14x+48	$f (x) = x^{2} - 14 x + 48$
85075	Simplify	(17+4x)/(12x)-17/(12x)	$\frac{17 + 4 x}{12 x} - \frac{17}{12 x}$
85076	Find the Vertex Form	g(x)=2x^2-20x+51	$g (x) = 2 x^{2} - 20 x + 51$
85077	Simplify	(15x^3y^4)/(21x^2y^2)*(14x^2y^3)/(6xy^2)	$\frac{15 x^{3} y^{4}}{21 x^{2} y^{2}} \cdot \frac{14 x^{2} y^{3}}{6 x y^{2}}$
85078	Find the Vertex Form	g(x)=-2x^2+20x-52	$g (x) = - 2 x^{2} + 20 x - 52$
85079	Simplify	(12-4t)/(t^2-2t-3)	$\frac{12 - 4 t}{t^{2} - 2 t - 3}$
85080	Find the Vertex Form	g(x)=-2x^2+20x-53	$g (x) = - 2 x^{2} + 20 x - 53$
85081	Find the Vertex Form	g(x)=2x^2+8x-3	$g (x) = 2 x^{2} + 8 x - 3$
85082	Simplify	(12xy^4)/(6x^3y^3)*(4x^3y)/(3x^2y^2)	$\frac{12 x y^{4}}{6 x^{3} y^{3}} \cdot \frac{4 x^{3} y}{3 x^{2} y^{2}}$
85083	Find the Vertex Form	g(x)=-2x^2+8x-9	$g (x) = - 2 x^{2} + 8 x - 9$
85084	Simplify	(x^2-4x-5)/(x^2+6x+5)	$\frac{x^{2} - 4 x - 5}{x^{2} + 6 x + 5}$
85085	Find the Vertex Form	f(x)=6x^2+48x+4	$f (x) = 6 x^{2} + 48 x + 4$
85086	Simplify	(x^2-8x+12)/(x^2-x-30)*(x^2-25)/(x^2-4)	$\frac{x^{2} - 8 x + 12}{x^{2} - x - 30} \cdot \frac{x^{2} - 25}{x^{2} - 4}$
85087	Simplify	(x^2-9)/4*(x^2-x-6)/(x^2-6x+9)	$\frac{x^{2} - 9}{4} \cdot \frac{x^{2} - x - 6}{x^{2} - 6 x + 9}$
85088	Simplify	(x^3)/(2y^2)*(6y^4)/(xy)	$\frac{x^{3}}{2 y^{2}} \cdot \frac{6 y^{4}}{x y}$
85089	Find the Vertex Form	f(x)=x^2+14x+36	$f (x) = x^{2} + 14 x + 36$
85090	Simplify	(x^3-8)/(x-2)	$\frac{x^{3} - 8}{x - 2}$
85091	Find the Vertex Form	f(x)=-8x^2-32x-35	$f (x) = - 8 x^{2} - 32 x - 35$
85092	Simplify	((x+2)/x-2/(x-1))/((x+1)/x+(x+1)/(x-1))	$\frac{\frac{x + 2}{x} - \frac{2}{x - 1}}{\frac{x + 1}{x} + \frac{x + 1}{x - 1}}$
85093	Simplify	(z^(1/3))/(z^(-1/2)z^(1/4))	$\frac{z^{\frac{1}{3}}}{z^{- \frac{1}{2}} z^{\frac{1}{4}}}$
85094	Find the LCD	y^2-49 , y^2-14y+49	$y^{2} - 49$ , $y^{2} - 14 y + 49$
85095	Find the LCD	x^2-5x+6 , x^2-8x+12	$x^{2} - 5 x + 6$ , $x^{2} - 8 x + 12$
85096	Simplify	\|5-3i\|	$\| 5 - 3 i \|$
85097	Find the LCD	x^2-9 , 2x+6 , x	$x^{2} - 9$ , $2 x + 6$ , $x$
85098	Find the LCD	x , x-8	$x$ , $x - 8$
85099	Simplify	(x^2+12x+35)/(3x+15)	$\frac{x^{2} + 12 x + 35}{3 x + 15}$
85100	Find the LCD	3x+3 , x+1	$3 x + 3$ , $x + 1$