Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
46401	Find the Difference Quotient	f(x)=4x^2-2	$f (x) = 4 x^{2} - 2$
46402	Find the Difference Quotient	f(x)=4x^2-9	$f (x) = 4 x^{2} - 9$
46403	Simplify	( square root of 12)/( square root of 3)	$\frac{\sqrt{12}}{\sqrt{3}}$
46404	Find the Difference Quotient	f(x)=4x^2+1	$f (x) = 4 x^{2} + 1$
46405	Simplify	( square root of 12x+15x^2)/( square root of 3x)	$\frac{\sqrt{12 x + 15 x^{2}}}{\sqrt{3 x}}$
46406	Find the Difference Quotient	f(x)=3x^2-x-6	$f (x) = 3 x^{2} - x - 6$
46407	Simplify	( square root of 20ab)/( square root of 45a^2b^3)	$\frac{\sqrt{20 a b}}{\sqrt{45 a^{2} b^{3}}}$
46408	Expand the Trigonometric Expression	(2x-3y)^10	${(2 x - 3 y)}^{10}$
46409	Simplify	( square root of 48n^6)/( square root of 6n^3)	$\frac{\sqrt{48 n^{6}}}{\sqrt{6 n^{3}}}$
46410	Expand the Trigonometric Expression	(2x-4)^4	${(2 x - 4)}^{4}$
46411	Simplify	( square root of c- square root of d)/( square root of c+ square root of d)	$\frac{\sqrt{c} - \sqrt{d}}{\sqrt{c} + \sqrt{d}}$
46412	Expand the Trigonometric Expression	(2-x)^3	${(2 - x)}^{3}$
46413	Simplify	( square root of 54x^5y^3)/( square root of 2x^2y)	$\frac{\sqrt{54 x^{5} y^{3}}}{\sqrt{2 x^{2} y}}$
46414	Expand the Trigonometric Expression	(3-8x)^3	${(3 - 8 x)}^{3}$
46415	Simplify	( cube root of x^2)/( fourth root of x)	$\frac{\sqrt[3]{x^{2}}}{\sqrt[4]{x}}$
46416	Expand the Trigonometric Expression	(3x-y)^7	${(3 x - y)}^{7}$
46417	Simplify	( cube root of 4xy^7)/( cube root of 32x^4y^4)	$\frac{\sqrt[3]{4 x y^{7}}}{\sqrt[3]{32 x^{4} y^{4}}}$
46418	Expand the Trigonometric Expression	(4x+5y)^6	${(4 x + 5 y)}^{6}$
46419	Expand the Trigonometric Expression	(4t-3)^5	${(4 t - 3)}^{5}$
46420	Simplify	( cube root of 12x^2)/( cube root of 4x)	$\frac{\sqrt[3]{12 x^{2}}}{\sqrt[3]{4 x}}$
46421	Expand the Trigonometric Expression	(3x-5)^4	${(3 x - 5)}^{4}$
46422	Simplify	(1/x+1/y)/(1/x-1/y)	$\frac{\frac{1}{x} + \frac{1}{y}}{\frac{1}{x} - \frac{1}{y}}$
46423	Simplify	(1/y+1/x)/(x/y-y/x)	$\frac{\frac{1}{y} + \frac{1}{x}}{\frac{x}{y} - \frac{y}{x}}$
46424	Expand the Trigonometric Expression	(1-4m)(m^2-3m+8)	$(1 - 4 m) (m^{2} - 3 m + 8)$
46425	Simplify	(2/x+7)/(4/(x^2)-49)	$\frac{\frac{2}{x} + 7}{\frac{4}{x^{2}} - 49}$
46426	Expand the Trigonometric Expression	(15a-4n-6)^2	${(15 a - 4 n - 6)}^{2}$
46427	Simplify	(3/x+2/(x^2))/(9/(x^2)-4/x)	$\frac{\frac{3}{x} + \frac{2}{x^{2}}}{\frac{9}{x^{2}} - \frac{4}{x}}$
46428	Expand the Trigonometric Expression	(-p+q)^5	${(- p + q)}^{5}$
46429	Expand the Trigonometric Expression	(px+qy)^3	${(p x + q y)}^{3}$
46430	Simplify	(1/25-1/(x^2))/(1/5+1/x)	$\frac{\frac{1}{25} - \frac{1}{x^{2}}}{\frac{1}{5} + \frac{1}{x}}$
46431	Expand the Trigonometric Expression	(x^2+9y)^3	${(x^{2} + 9 y)}^{3}$
46432	Simplify	(((x+3)^2)/(x-3))/((x^2-9)/(3x-9))	$\frac{\frac{{(x + 3)}^{2}}{x - 3}}{\frac{x^{2} - 9}{3 x - 9}}$
46433	Simplify	(3x)/(5x^2)	$\frac{3 x}{5 x^{2}}$
46434	Expand the Trigonometric Expression	(m+7)(m+3)	$(m + 7) (m + 3)$
46435	Expand the Trigonometric Expression	(9b-1)(9b+1)	$(9 b - 1) (9 b + 1)$
46436	Simplify	-5/( square root of x-4)	$\frac{- 5}{\sqrt{x} - 4}$
46437	Expand the Trigonometric Expression	(7k-w)^3	${(7 k - w)}^{3}$
46438	Simplify	5/( square root of 6)	$\frac{5}{\sqrt{6}}$
46439	Expand the Trigonometric Expression	(7x-2y)^2	${(7 x - 2 y)}^{2}$
46440	Simplify	9/( square root of 7)	$\frac{9}{\sqrt{7}}$
46441	Expand the Trigonometric Expression	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
46442	Expand the Trigonometric Expression	3(2x+3)	$3 (2 x + 3)$
46443	Expand the Trigonometric Expression	cos(2a)	$\cos (2 a)$
46444	Simplify	(2(x+4)(x-2))/(3(x-2)^2)	$\frac{2 (x + 4) (x - 2)}{3 {(x - 2)}^{2}}$
46445	Simplify	(15 square root of 60x^5)/(3 square root of 12x)	$\frac{15 \sqrt{60 x^{5}}}{3 \sqrt{12 x}}$
46446	Expand the Trigonometric Expression	8k-5(-5k+3)	$8 k - 5 (- 5 k + 3)$
46447	Simplify	(15a-3)/24	$\frac{15 a - 3}{24}$
46448	Expand the Trigonometric Expression	15(5)^2(-1/2x)^4	$15 {(5)}^{2} {(- \frac{1}{2} x)}^{4}$
46449	Expand the Trigonometric Expression	19-6(-k+4)	$19 - 6 (- k + 4)$
46450	Expand the Trigonometric Expression	(x-4)(x-6)	$(x - 4) (x - 6)$
46451	Simplify	2/( cube root of 25x^2)	$\frac{2}{\sqrt[3]{25 x^{2}}}$
46452	Expand the Trigonometric Expression	x(3x+2)	$x (3 x + 2)$
46453	Simplify	2/(2/x)	$\frac{2}{\frac{2}{x}}$
46454	Simplify	(2x^2-7x-4)/(x^2-5x+4)	$\frac{2 x^{2} - 7 x - 4}{x^{2} - 5 x + 4}$
46455	Find the Focus	y=-1/40x^2	$y = - \frac{1}{40} x^{2}$
46456	Simplify	square root of 3x-2	$\sqrt{3 x - 2}$
46457	Find the Focus	y=1/10x^2-1/5x+18/5	$y = \frac{1}{10} x^{2} - \frac{1}{5} x + \frac{18}{5}$
46458	Simplify	square root of 32x^9y^5	$\sqrt{32 x^{9} y^{5}}$
46459	Simplify	square root of 300a^4	$\sqrt{300 a^{4}}$
46460	Find the Focus	y^2-5y-x+9=0	$y^{2} - 5 y - x + 9 = 0$
46461	Simplify	- square root of 28	$- \sqrt{28}$
46462	Find the Focus	y^2-6y+4x+9=0	$y^{2} - 6 y + 4 x + 9 = 0$
46463	Graph	y=2x^2+6x+3	$y = 2 x^{2} + 6 x + 3$
46464	Find the Focus	-y^2=x	$- y^{2} = x$
46465	Simplify	square root of 27x^7	$\sqrt{27 x^{7}}$
46466	Find the Focus	y=-9x^2	$y = - 9 x^{2}$
46467	Simplify	square root of 27y^8	$\sqrt{27 y^{8}}$
46468	Simplify	square root of 20x^2y^3	$\sqrt{20 x^{2} y^{3}}$
46469	Find the Focus	x^2-12y=0	$x^{2} - 12 y = 0$
46470	Simplify	square root of 20t^2	$\sqrt{20 t^{2}}$
46471	Find the Focus	9y=x^2	$9 y = x^{2}$
46472	Find the Focus	x^2+4x-8y+12=0	$x^{2} + 4 x - 8 y + 12 = 0$
46473	Find the Focus	x^2+6x=4y-1	$x^{2} + 6 x = 4 y - 1$
46474	Find the Focus	x^2=1/5y	$x^{2} = \frac{1}{5} y$
46475	Find the Focus	x^2+6y=0	$x^{2} + 6 y = 0$
46476	Simplify	square root of 24x^6	$\sqrt{24 x^{6}}$
46477	Simplify	square root of 176	$\sqrt{176}$
46478	Simplify	sixth root of 49	$\sqrt[6]{49}$
46479	Simplify	square root of 144b^6	$\sqrt{144 b^{6}}$
46480	Simplify	square root of 144x^7y^5	$\sqrt{144 x^{7} y^{5}}$
46481	Find the Focus	x-8=-1/20(y+2)^2	$x - 8 = - \frac{1}{20} {(y + 2)}^{2}$
46482	Simplify	square root of 14x(3- square root of 2x)	$\sqrt{14 x} (3 - \sqrt{2 x})$
46483	Find the Focus	(x+5)^2=-30(y-6)	${(x + 5)}^{2} = - 30 (y - 6)$
46484	Simplify	square root of 149	$\sqrt{149}$
46485	Simplify	square root of 16-x^2	$\sqrt{16 - x^{2}}$
46486	Find the Focus	(x-2)^2=-6(y-3)	${(x - 2)}^{2} = - 6 (y - 3)$
46487	Simplify	square root of 108x^4	$\sqrt{108 x^{4}}$
46488	Find the Focus	(x-2)^2=-(y+1)	${(x - 2)}^{2} = - (y + 1)$
46489	Simplify	square root of 108x^2	$\sqrt{108 x^{2}}$
46490	Simplify	square root of 10( square root of 10+z square root of 30)	$\sqrt{10} (\sqrt{10} + z \sqrt{30})$
46491	Find the Focus	x^2+10x=4y-17	$x^{2} + 10 x = 4 y - 17$
46492	Simplify	square root of 128x^2	$\sqrt{128 x^{2}}$
46493	Find the Focus	5x^2=100y	$5 x^{2} = 100 y$
46494	Simplify	square root of 10z( square root of 10- square root of z)	$\sqrt{10 z} (\sqrt{10} - \sqrt{z})$
46495	Simplify	square root of 12x^6	$\sqrt{12 x^{6}}$
46496	Simplify	square root of (x^6)/(y^8)	$\sqrt{\frac{x^{6}}{y^{8}}}$
46497	Simplify	square root of 100/(4x^2)	$\sqrt{\frac{100}{4 x^{2}}}$
46498	Find @FORMULA	f(x)=6x^3	$f (x) = 6 x^{3}$
46499	Simplify	square root of (5n^2)/(9m^2)	$\sqrt{\frac{5 n^{2}}{9 m^{2}}}$
46500	Find @FORMULA	f(x)=7x+11	$f (x) = 7 x + 11$