Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46801	Expand Using the Binomial Theorem	(3x^2-4y)^5	${(3 x^{2} - 4 y)}^{5}$
46802	Expand Using the Binomial Theorem	(2x+3y)^9	${(2 x + 3 y)}^{9}$
46803	Expand Using the Binomial Theorem	(2v+3)^6	${(2 v + 3)}^{6}$
46804	Expand Using the Binomial Theorem	( square root of x- square root of 2)^8	${(\sqrt{x} - \sqrt{2})}^{8}$
46805	Expand Using the Binomial Theorem	(1+i)^5	${(1 + i)}^{5}$
46806	Expand Using the Binomial Theorem	(11a+b)^6	${(11 a + b)}^{6}$
46807	Find the Derivative Using Chain Rule - d/dx	y=(5x^2+3)^4	$y = {(5 x^{2} + 3)}^{4}$
46808	Expand Using the Binomial Theorem	(- square root of 2- square root of 2i)^5	${(- \sqrt{2} - \sqrt{2} i)}^{5}$
46809	Convert to Polar Coordinates	(2,-(5pi)/4)	$(2, - \frac{5 π}{4})$
46810	Convert to Polar Coordinates	(-2,-(5pi)/6)	$(- 2, - \frac{5 π}{6})$
46811	Convert to Polar Coordinates	(1,4)	$(1, 4)$
46812	Convert to Polar Coordinates	(-12,-5)	$(- 12, - 5)$
46813	Convert to Polar Coordinates	(0.7,-1.1)	$(0.7, - 1.1)$
46814	Convert to Polar Coordinates	-( square root of 6,- square root of 2)	$- (\sqrt{6}, - \sqrt{2})$
46815	Convert to Polar Coordinates	(1,(7pi)/4)	$(1, \frac{7 π}{4})$
46816	Convert to Polar Coordinates	(-5/2,(5 square root of 3)/2)	$(- \frac{5}{2}, \frac{5 \sqrt{3}}{2})$
46817	Convert to Polar Coordinates	((3 square root of 2)/2,(3 square root of 2)/2)	$(\frac{3 \sqrt{2}}{2}, \frac{3 \sqrt{2}}{2})$
46818	Convert to Polar Coordinates	(3,-(7pi)/4)	$(3, - \frac{7 π}{4})$
46819	Convert to Polar Coordinates	(3 square root of 3,9)	$(3 \sqrt{3}, 9)$
46820	Convert to Polar Coordinates	(-3,-(2pi)/3)	$(- 3, - \frac{2 π}{3})$
46821	Convert to Polar Coordinates	(3,-pi/6)	$(3, - \frac{π}{6})$
46822	Convert to Polar Coordinates	(2, square root of 5)	$(2, \sqrt{5})$
46823	Convert to Polar Coordinates	(-2,30 degrees )	$(- 2, 30 °)$
46824	Convert to Polar Coordinates	(-2 square root of 3,0)	$(- 2 \sqrt{3}, 0)$
46825	Convert to Polar Coordinates	(-5,-1)	$(- 5, - 1)$
46826	Convert to Polar Coordinates	(5,-7)	$(5, - 7)$
46827	Convert to Polar Coordinates	(4,60 degrees )	$(4, 60 °)$
46828	Convert to Polar Coordinates	(5,(4pi)/3)	$(5, \frac{4 π}{3})$
46829	Convert to Polar Coordinates	(4,(23pi)/12)	$(4, \frac{23 π}{12})$
46830	Convert to Polar Coordinates	(3,90 degrees )	$(3, 90 °)$
46831	Convert to Polar Coordinates	(-4,240 degrees )	$(- 4, 240 °)$
46832	Convert to Polar Coordinates	(-4,(7pi)/6)	$(- 4, \frac{7 π}{6})$
46833	Convert to Polar Coordinates	(4,-10)	$(4, - 10)$
46834	Find the Determinant	[[6,-7,3],[-2,3,-7],[-5,5,-8]]	$[\begin{array}{c} 6 & - 7 & 3 \\ - 2 & 3 & - 7 \\ - 5 & 5 & - 8 \end{array}]$
46835	Find the Determinant	[[5,-2],[-1,5]]	$[\begin{array}{c} 5 & - 2 \\ - 1 & 5 \end{array}]$
46836	Find the Determinant	[[6,1,7],[2,-3,3],[4,-1,2]]	$[\begin{array}{c} 6 & 1 & 7 \\ 2 & - 3 & 3 \\ 4 & - 1 & 2 \end{array}]$
46837	Find the Determinant	C=[[-1,0],[2,-2]]	$C = [\begin{array}{c} - 1 & 0 \\ 2 & - 2 \end{array}]$
46838	Find the Determinant	[[1,0],[-1,2]]	$[\begin{array}{c} 1 & 0 \\ - 1 & 2 \end{array}]$
46839	Find the Determinant	[[-2,5],[7,6]]	$[\begin{array}{c} - 2 & 5 \\ 7 & 6 \end{array}]$
46840	Find the Determinant	[[3,2,1],[4,-1,-1],[-5,-1,2]]	$[\begin{array}{c} 3 & 2 & 1 \\ 4 & - 1 & - 1 \\ - 5 & - 1 & 2 \end{array}]$
46841	Convert to Polar Coordinates	(5 square root of 3,0)	$(5 \sqrt{3}, 0)$
46842	Convert to Polar Coordinates	(-7,-5)	$(- 7, - 5)$
46843	Convert to Polar Coordinates	(-7,8pi)	$(- 7, 8 π)$
46844	Convert to Polar Coordinates	(6,-7)	$(6, - 7)$
46845	Find the Determinant	[[0,3],[5,5]]	$[\begin{array}{c} 0 & 3 \\ 5 & 5 \end{array}]$
46846	Convert to Polar Coordinates	(9,20)	$(9, 20)$
46847	Convert to Polar Coordinates	(9,6)	$(9, 6)$
46848	Convert to Polar Coordinates	(8,(7pi)/6)	$(8, \frac{7 π}{6})$
46849	Find the Inverse	4x+9	$4 x + 9$
46850	Find the Inverse	-2x^2-1	$- 2 x^{2} - 1$
46851	Find the Inverse	cube root of x/6-7	$\sqrt[3]{\frac{x}{6}} - 7$
46852	Find the Inverse	cube root of x+3	$\sqrt[3]{x + 3}$
46853	Find the Inverse	(x-5)^2	${(x - 5)}^{2}$
46854	Find the Inverse	8x+6	$8 x + 6$
46855	Find the Inverse	9-x^2	$9 - x^{2}$
46856	Find the Inverse	-6(x-2)	$- 6 (x - 2)$
46857	Find the Inverse	6x+7	$6 x + 7$
46858	Find the Inverse	7sin(x)-6	$7 \sin (x) - 6$
46859	Find the Inverse	7x-2	$7 x - 2$
46860	Find the Inverse	2x+9	$2 x + 9$
46861	Find the Inverse	x^2+4x	$x^{2} + 4 x$
46862	Determine if Odd, Even, or Neither	2/(x^2)	$\frac{2}{x^{2}}$
46863	Determine if Odd, Even, or Neither	3x^2-4\|x\|	$3 x^{2} - 4 \| x \|$
46864	Find the Inverse	1/3(x-5)	$\frac{1}{3} (x - 5)$
46865	Determine if Odd, Even, or Neither	x^2+x^3	$x^{2} + x^{3}$
46866	Determine if Odd, Even, or Neither	-x^4+x	$- x^{4} + x$
46867	Find the Inverse	(x+2)/(3x+1)	$\frac{x + 2}{3 x + 1}$
46868	Find the Inverse	1/(x+4)	$\frac{1}{x + 4}$
46869	Expand Using De Moivre's Theorem	(-1+i square root of 3)^3	${(- 1 + i \sqrt{3})}^{3}$
46870	Expand Using De Moivre's Theorem	(-2+i)^4	${(- 2 + i)}^{4}$
46871	Expand Using De Moivre's Theorem	(cos(pi/6)+isin(pi/6))^4	${(\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}^{4}$
46872	Expand Using De Moivre's Theorem	-2+2i	$- 2 + 2 i$
46873	Expand Using De Moivre's Theorem	(cos(pi/3)+isin(pi/3))^2	${(\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}^{2}$
46874	Expand Using De Moivre's Theorem	(cos(pi/6)+isin(pi/6))^3	${(\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}^{3}$
46875	Expand Using De Moivre's Theorem	(-1/2-( square root of 3)/2i)^10	${(- \frac{1}{2} - \frac{\sqrt{3}}{2} i)}^{10}$
46876	Expand Using De Moivre's Theorem	(1/2+( square root of 3)/2i)^3	${(\frac{1}{2} + \frac{\sqrt{3}}{2} i)}^{3}$
46877	Split Using Partial Fraction Decomposition	(3x^2-6x-3)/(x^3-x)	$\frac{3 x^{2} - 6 x - 3}{x^{3} - x}$
46878	Split Using Partial Fraction Decomposition	4/(3x(5x+1))	$\frac{4}{3 x (5 x + 1)}$
46879	Split Using Partial Fraction Decomposition	(41x-37)/(-6x^2-11x+7)	$\frac{41 x - 37}{- 6 x^{2} - 11 x + 7}$
46880	Split Using Partial Fraction Decomposition	(4x)/(x^2-1)	$\frac{4 x}{x^{2} - 1}$
46881	Split Using Partial Fraction Decomposition	(10x^2+10x+3)/((x+1)(x^2+3x+3))	$\frac{10 x^{2} + 10 x + 3}{(x + 1) (x^{2} + 3 x + 3)}$
46882	Split Using Partial Fraction Decomposition	(27-4x)/(x^3-6x^2+9x)	$\frac{27 - 4 x}{x^{3} - 6 x^{2} + 9 x}$
46883	Split Using Partial Fraction Decomposition	(2x^2+x+3)/(x^2-9)	$\frac{2 x^{2} + x + 3}{x^{2} - 9}$
46884	Split Using Partial Fraction Decomposition	(2x+1)/(x^2-4)	$\frac{2 x + 1}{x^{2} - 4}$
46885	Split Using Partial Fraction Decomposition	(-2x^3+7x^2+6)/(x^2(x^2+2))	$\frac{- 2 x^{3} + 7 x^{2} + 6}{x^{2} (x^{2} + 2)}$
46886	Split Using Partial Fraction Decomposition	-1/(x^2(x^2+4))	$\frac{- 1}{x^{2} (x^{2} + 4)}$
46887	Split Using Partial Fraction Decomposition	1/(x^2(x+2)^2)	$\frac{1}{x^{2} {(x + 2)}^{2}}$
46888	Split Using Partial Fraction Decomposition	(10x+20)/(x^3-2x^2-4x+8)	$\frac{10 x + 20}{x^{3} - 2 x^{2} - 4 x + 8}$
46889	Split Using Partial Fraction Decomposition	11/(5x^3-45x)	$\frac{11}{5 x^{3} - 45 x}$
46890	Split Using Partial Fraction Decomposition	(11x^2+12x)/((x^2+10)(x^2+11))	$\frac{11 x^{2} + 12 x}{(x^{2} + 10) (x^{2} + 11)}$
46891	Split Using Partial Fraction Decomposition	(11x-10)/((x-3)(x+2))	$\frac{11 x - 10}{(x - 3) (x + 2)}$
46892	Split Using Partial Fraction Decomposition	(11x-10)/((x-3)(x+7))	$\frac{11 x - 10}{(x - 3) (x + 7)}$
46893	Split Using Partial Fraction Decomposition	(13x+2)/((x-1)(x^2+x+1))	$\frac{(13 x + 2)}{(x - 1) (x^{2} + x + 1)}$
46894	Split Using Partial Fraction Decomposition	(7x-13)/(x^2-2x-3)	$\frac{7 x - 13}{x^{2} - 2 x - 3}$
46895	Split Using Partial Fraction Decomposition	8/(x(1-x))	$\frac{8}{x (1 - x)}$
46896	Split Using Partial Fraction Decomposition	(8x^2+43x+15)/(x^3+7x^2+7x-15)	$\frac{8 x^{2} + 43 x + 15}{x^{3} + 7 x^{2} + 7 x - 15}$
46897	Split Using Partial Fraction Decomposition	99/(x(x+11))	$\frac{99}{x (x + 11)}$
46898	Split Using Partial Fraction Decomposition	(9x^2-22x+42)/((x-6)(x^2+3))	$\frac{9 x^{2} - 22 x + 42}{(x - 6) (x^{2} + 3)}$
46899	Split Using Partial Fraction Decomposition	(9x^2-8x+26)/(x^3-x^2+2x-2)	$\frac{9 x^{2} - 8 x + 26}{x^{3} - x^{2} + 2 x - 2}$
46900	Split Using Partial Fraction Decomposition	x/((x^2+9)(x+1))	$\frac{x}{(x^{2} + 9) (x + 1)}$