Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
157501	Split Using Partial Fraction Decomposition	(2x-1)/((x-1)(x^2+1))	$\frac{2 x - 1}{(x - 1) (x^{2} + 1)}$
157502	Split Using Partial Fraction Decomposition	(2x^2-x+4)/((x+1)(x^2+6))	$\frac{2 x^{2} - x + 4}{(x + 1) (x^{2} + 6)}$
157503	Split Using Partial Fraction Decomposition	(2x^4-8x^2-10+3x^3-9x)/(x(x^2+1)(x^2-5))	$\frac{2 x^{4} - 8 x^{2} - 10 + 3 x^{3} - 9 x}{x (x^{2} + 1) (x^{2} - 5)}$
157504	Split Using Partial Fraction Decomposition	20/(x^2-25)	$\frac{20}{x^{2} - 25}$
157505	Split Using Partial Fraction Decomposition	20/(3x(4x+5))	$\frac{20}{3 x (4 x + 5)}$
157506	Split Using Partial Fraction Decomposition	2/(x^3-27)	$\frac{2}{x^{3} - 27}$
157507	Split Using Partial Fraction Decomposition	(-2x^2-5x-45)/((x-3)(x^2+4))	$\frac{- 2 x^{2} - 5 x - 45}{(x - 3) (x^{2} + 4)}$
157508	Split Using Partial Fraction Decomposition	(2x^2-9x-3)/(x^3-x)	$\frac{2 x^{2} - 9 x - 3}{x^{3} - x}$
157509	Split Using Partial Fraction Decomposition	(15x)/((x+1)(x-2))	$\frac{15 x}{(x + 1) (x - 2)}$
157510	Split Using Partial Fraction Decomposition	(15x+16)/((3x+4)^2)	$\frac{15 x + 16}{{(3 x + 4)}^{2}}$
157511	Split Using Partial Fraction Decomposition	(11x-10)/((x-4)(x+2))	$\frac{11 x - 10}{(x - 4) (x + 2)}$
157512	Split Using Partial Fraction Decomposition	(11x-10)/((x-4)(x+3))	$\frac{11 x - 10}{(x - 4) (x + 3)}$
157513	Split Using Partial Fraction Decomposition	(11x-10)/((x-4)(x+5))	$\frac{11 x - 10}{(x - 4) (x + 5)}$
157514	Split Using Partial Fraction Decomposition	(12x+3)/(x^3-1)	$\frac{12 x + 3}{x^{3} - 1}$
157515	Split Using Partial Fraction Decomposition	(11x-10)/((x-8)(x+7))	$\frac{11 x - 10}{(x - 8) (x + 7)}$
157516	Split Using Partial Fraction Decomposition	(10x^2-x+1)/((x+1)(x^2+2))	$\frac{10 x^{2} - x + 1}{(x + 1) (x^{2} + 2)}$
157517	Split Using Partial Fraction Decomposition	(10x^2-x+5)/((x+1)(x^2+3))	$\frac{10 x^{2} - x + 5}{(x + 1) (x^{2} + 3)}$
157518	Split Using Partial Fraction Decomposition	10/(x^2-2x)	$\frac{10}{x^{2} - 2 x}$
157519	Split Using Partial Fraction Decomposition	(10b)/(2b+8)	$\frac{10 b}{2 b + 8}$
157520	Split Using Partial Fraction Decomposition	1/(x(5x+3)(5x^2+3))	$\frac{1}{x (5 x + 3) (5 x^{2} + 3)}$
157521	Split Using Partial Fraction Decomposition	1/(x(4x+5)(4x^2+5))	$\frac{1}{x (4 x + 5) (4 x^{2} + 5)}$
157522	Split Using Partial Fraction Decomposition	(x^2+12x+12)/(x^3-4x)	$\frac{(x^{2} + 12 x + 12)}{x^{3} - 4 x}$
157523	Split Using Partial Fraction Decomposition	(2x^3+21x-6)/((x-2)(x^2+9))	$\frac{(2 x^{3} + 21 x - 6)}{(x - 2) (x^{2} + 9)}$
157524	Split Using Partial Fraction Decomposition	(4x^2-3x-4)/(x(x+2)(x-1))	$\frac{(4 x^{2} - 3 x - 4)}{x (x + 2) (x - 1)}$
157525	Split Using Partial Fraction Decomposition	1/(x(2x+3)(5x^2+3))	$\frac{1}{x (2 x + 3) (5 x^{2} + 3)}$
157526	Split Using Partial Fraction Decomposition	( square root of 8-x)/((x+4)(x^2+1))	$\frac{\sqrt{8 - x}}{(x + 4) (x^{2} + 1)}$
157527	Split Using Partial Fraction Decomposition	(4x^2-x+5)/((x+1)(x^2+4))	$\frac{4 x^{2} - x + 5}{(x + 1) (x^{2} + 4)}$
157528	Split Using Partial Fraction Decomposition	(4x^2-10x-4)/(x^3-x)	$\frac{4 x^{2} - 10 x - 4}{x^{3} - x}$
157529	Split Using Partial Fraction Decomposition	(4x^2-4x+1)/(8x^3-1)	$\frac{4 x^{2} - 4 x + 1}{8 x^{3} - 1}$
157530	Split Using Partial Fraction Decomposition	(4x+3)/(x^2+x-20)	$\frac{4 x + 3}{x^{2} + x - 20}$
157531	Split Using Partial Fraction Decomposition	(4x+3)/(x^4-9x^2)	$\frac{4 x + 3}{x^{4} - 9 x^{2}}$
157532	Split Using Partial Fraction Decomposition	(4y^2-18y+18)/(y^3-6y^2+9y)	$\frac{4 y^{2} - 18 y + 18}{y^{3} - 6 y^{2} + 9 y}$
157533	Split Using Partial Fraction Decomposition	5/(4x^2-25)	$\frac{5}{4 x^{2} - 25}$
157534	Split Using Partial Fraction Decomposition	(5x^2-6x-3)/(x^3-x)	$\frac{5 x^{2} - 6 x - 3}{x^{3} - x}$
157535	Split Using Partial Fraction Decomposition	(5x^2-7x-2)/(x^3-x)	$\frac{5 x^{2} - 7 x - 2}{x^{3} - x}$
157536	Split Using Partial Fraction Decomposition	(5x^2-9x+19)/((x-4)(x^2+5))	$\frac{5 x^{2} - 9 x + 19}{(x - 4) (x^{2} + 5)}$
157537	Split Using Partial Fraction Decomposition	(6x^2-x+14)/((x+1)(x^2+6))	$\frac{6 x^{2} - x + 14}{(x + 1) (x^{2} + 6)}$
157538	Split Using Partial Fraction Decomposition	(7x^2-5x+6)/((x-1)(x-3)(x-7))	$\frac{7 x^{2} - 5 x + 6}{(x - 1) (x - 3) (x - 7)}$
157539	Split Using Partial Fraction Decomposition	(6x^2+7x+22)/(x^3-8)	$\frac{6 x^{2} + 7 x + 22}{x^{3} - 8}$
157540	Split Using Partial Fraction Decomposition	(6x^2-2x+7)/((x-3)(x^2+2))	$\frac{6 x^{2} - 2 x + 7}{(x - 3) (x^{2} + 2)}$
157541	Split Using Partial Fraction Decomposition	60/(x^2-36)	$\frac{60}{x^{2} - 36}$
157542	Split Using Partial Fraction Decomposition	(5x-3)/(x(2x^2+1)^2)	$\frac{5 x - 3}{x {(2 x^{2} + 1)}^{2}}$
157543	Split Using Partial Fraction Decomposition	(6x)/(x^2-16)	$\frac{6 x}{x^{2} - 16}$
157544	Split Using Partial Fraction Decomposition	(5x-2)/((x+7)(4x^2+3))	$\frac{5 x - 2}{(x + 7) (4 x^{2} + 3)}$
157545	Split Using Partial Fraction Decomposition	(7x-7)/(x(x-1))	$\frac{7 x - 7}{x (x - 1)}$
157546	Split Using Partial Fraction Decomposition	8/(5x(3x+2))	$\frac{8}{5 x (3 x + 2)}$
157547	Split Using Partial Fraction Decomposition	(8x^2-6x-8)/(x^3+x^2-2x)	$\frac{8 x^{2} - 6 x - 8}{x^{3} + x^{2} - 2 x}$
157548	Split Using Partial Fraction Decomposition	(8x^2-x+12)/((x+1)(x^2+6))	$\frac{8 x^{2} - x + 12}{(x + 1) (x^{2} + 6)}$
157549	Split Using Partial Fraction Decomposition	(8x^2-x+15)/((x+1)(x^2+5))	$\frac{8 x^{2} - x + 15}{(x + 1) (x^{2} + 5)}$
157550	Split Using Partial Fraction Decomposition	8/(x(x-8))	$\frac{8}{x (x - 8)}$
157551	Split Using Partial Fraction Decomposition	(9x^2+36x+8)/((x+4)(x^2+5x+6))	$\frac{9 x^{2} + 36 x + 8}{(x + 4) (x^{2} + 5 x + 6)}$
157552	Split Using Partial Fraction Decomposition	(8x+5)/((x+5)(5x-1))	$\frac{8 x + 5}{(x + 5) (5 x - 1)}$
157553	Split Using Partial Fraction Decomposition	8/(x^3-8)	$\frac{8}{x^{3} - 8}$
157554	Split Using Partial Fraction Decomposition	(9x^2-x+6)/((x+1)(x^2+3))	$\frac{9 x^{2} - x + 6}{(x + 1) (x^{2} + 3)}$
157555	Split Using Partial Fraction Decomposition	(9x-4)/((x+4)(x-1)^2)	$\frac{9 x - 4}{(x + 4) {(x - 1)}^{2}}$
157556	Split Using Partial Fraction Decomposition	(9x-52)/(x^2-11x+30)	$\frac{9 x - 52}{x^{2} - 11 x + 30}$
157557	Split Using Partial Fraction Decomposition	x/((4x-3)(5x+1))	$\frac{x}{(4 x - 3) (5 x + 1)}$
157558	Split Using Partial Fraction Decomposition	x/((x+3)(x+5))	$\frac{x}{(x + 3) (x + 5)}$
157559	Split Using Partial Fraction Decomposition	x/((x-1)(x-3))	$\frac{x}{(x - 1) (x - 3)}$
157560	Find the Second Derivative	f(x)=(x^2+9)^9	$f (x) = {(x^{2} + 9)}^{9}$
157561	Split Using Partial Fraction Decomposition	(x-12)/((x-2)(x-4))	$\frac{x - 12}{(x - 2) (x - 4)}$
157562	Split Using Partial Fraction Decomposition	(x-2)/((x+2)(x+4)^2)	$\frac{x - 2}{(x + 2) {(x + 4)}^{2}}$
157563	Split Using Partial Fraction Decomposition	(x+4)/((x-6)(x-4))	$\frac{x + 4}{(x - 6) (x - 4)}$
157564	Split Using Partial Fraction Decomposition	(x+28)/(x^2(x^2+7))	$\frac{x + 28}{x^{2} (x^{2} + 7)}$
157565	Split Using Partial Fraction Decomposition	(x+3)/((x-1)(x^2+3))	$\frac{x + 3}{(x - 1) (x^{2} + 3)}$
157566	Split Using Partial Fraction Decomposition	(-x+13)/(x^2-x-6)	$\frac{- x + 13}{x^{2} - x - 6}$
157567	Split Using Partial Fraction Decomposition	(x+6)/((x-4)(x-6))	$\frac{x + 6}{(x - 4) (x - 6)}$
157568	Split Using Partial Fraction Decomposition	(x-1)/((x-3)(x+1))	$\frac{x - 1}{(x - 3) (x + 1)}$
157569	Split Using Partial Fraction Decomposition	x/(x^2+5x-6)	$\frac{x}{x^{2} + 5 x - 6}$
157570	Split Using Partial Fraction Decomposition	x/((x-5)(x-4))	$\frac{x}{(x - 5) (x - 4)}$
157571	Split Using Partial Fraction Decomposition	x/(x^2+x-72)	$\frac{x}{x^{2} + x - 72}$
157572	Split Using Partial Fraction Decomposition	x/(x^2-11x+18)	$\frac{x}{x^{2} - 11 x + 18}$
157573	Split Using Partial Fraction Decomposition	x/(x^2-2x-3)	$\frac{x}{x^{2} - 2 x - 3}$
157574	Split Using Partial Fraction Decomposition	x/(x^2-2x-48)	$\frac{x}{x^{2} - 2 x - 48}$
157575	Split Using Partial Fraction Decomposition	x/(x^2-3x+2)	$\frac{x}{x^{2} - 3 x + 2}$
157576	Split Using Partial Fraction Decomposition	x/(x^2-5x-6)	$\frac{x}{x^{2} - 5 x - 6}$
157577	Split Using Partial Fraction Decomposition	x/(x^2-7x+10)	$\frac{x}{x^{2} - 7 x + 10}$
157578	Split Using Partial Fraction Decomposition	(x^2)/((x-1)^2(x+8))	$\frac{x^{2}}{{(x - 1)}^{2} (x + 8)}$
157579	Split Using Partial Fraction Decomposition	(x^2)/((x-3)(x^2+9))	$\frac{x^{2}}{(x - 3) (x^{2} + 9)}$
157580	Split Using Partial Fraction Decomposition	(x^2+4x+1)/((x+1)(x^2+18x+3))	$\frac{x^{2} + 4 x + 1}{(x + 1) (x^{2} + 18 x + 3)}$
157581	Split Using Partial Fraction Decomposition	(x^2)/((x-6)^2(x+1))	$\frac{x^{2}}{{(x - 6)}^{2} (x + 1)}$
157582	Split Using Partial Fraction Decomposition	(x^2)/(x^2+2x-15)	$\frac{x^{2}}{x^{2} + 2 x - 15}$
157583	Split Using Partial Fraction Decomposition	(x^5+18)/(x^2-1)	$\frac{x^{5} + 18}{x^{2} - 1}$
157584	Split Using Partial Fraction Decomposition	(x^3+x^2-7)/((x^2+4)^2)	$\frac{x^{3} + x^{2} - 7}{{(x^{2} + 4)}^{2}}$
157585	Split Using Partial Fraction Decomposition	(x^5-4)/(x^2-1)	$\frac{x^{5} - 4}{x^{2} - 1}$
157586	Split Using Partial Fraction Decomposition	(x^2-3x+5)/((x-8)^2(x+7))	$\frac{x^{2} - 3 x + 5}{{(x - 8)}^{2} (x + 7)}$
157587	Split Using Partial Fraction Decomposition	(x^2-6x+4)/((x-5)^3)	$\frac{x^{2} - 6 x + 4}{{(x - 5)}^{3}}$
157588	Split Using Partial Fraction Decomposition	(x^2+4x-69)/(x^3-x^2-9x+9)	$\frac{x^{2} + 4 x - 69}{x^{3} - x^{2} - 9 x + 9}$
157589	Split Using Partial Fraction Decomposition	(x^2-8x+6)/((x-7)^3)	$\frac{x^{2} - 8 x + 6}{{(x - 7)}^{3}}$
157590	Split Using Partial Fraction Decomposition	(x^3+x^2+3)/((x^2+8)^2)	$\frac{x^{3} + x^{2} + 3}{{(x^{2} + 8)}^{2}}$
157591	Split Using Partial Fraction Decomposition	(x^3+x^2-1)/(x^2+3x-4)	$\frac{x^{3} + x^{2} - 1}{x^{2} + 3 x - 4}$
157592	Split Using Partial Fraction Decomposition	(x^3+x^2-1)/(x^2+4x-5)	$\frac{x^{3} + x^{2} - 1}{x^{2} + 4 x - 5}$
157593	Split Using Partial Fraction Decomposition	(x^3+x^2-3)/(x^2+6x-7)	$\frac{x^{3} + x^{2} - 3}{x^{2} + 6 x - 7}$
157594	Find the Eccentricity	((x+2)^2)/9+((y-4)^2)/36=1	$\frac{{(x + 2)}^{2}}{9} + \frac{{(y - 4)}^{2}}{36} = 1$
157595	Find the Cofactor Matrix	[[1,2,4],[0,1,6/7]]	$[\begin{array}{c} 1 & 2 & 4 \\ 0 & 1 & \frac{6}{7} \end{array}]$
157596	Evaluate Using Scientific Notation	(210^6)(410^5)	$(2 \cdot 10^{6}) (4 \cdot 10^{5})$
157597	Evaluate Using Scientific Notation	(210^3)(310^5)	$(2 \cdot 10^{3}) (3 \cdot 10^{5})$
157598	Evaluate Using Scientific Notation	(2.210^4)÷(2.510^4)	$(2.2 \cdot 10^{4}) \div (2.5 \cdot 10^{4})$
157599	Evaluate Using Scientific Notation	(2.010^-4)(3.1*10^-20)	$(2 \cdot 10^{- 4}) \cdot (3.1 \cdot 10^{- 20})$
157600	Evaluate Using Scientific Notation	(2.810^-5)-(1.610^-6)	$(2.8 \cdot 10^{- 5}) - (1.6 \cdot 10^{- 6})$