Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
33401	Simplify	(-5+3i)-(-8+2i)	$(- 5 + 3 i) - (- 8 + 2 i)$
33402	Simplify	(5x+9)(5x-9)	$(5 x + 9) (5 x - 9)$
33403	Divide Using Long Polynomial Division	(2a^2+a+3)/(a-1)	$\frac{(2 a^{2} + a + 3)}{(a - 1)}$
33404	Simplify	(6x^2-6x-5)(7x^2+6x-5)	$(6 x^{2} - 6 x - 5) (7 x^{2} + 6 x - 5)$
33405	Simplify	(6+9i)(6-9i)	$(6 + 9 i) (6 - 9 i)$
33406	Find the x and y Intercepts	y=5x-10	$y = 5 x - 10$
33407	Divide Using Long Polynomial Division	(6x^2-5x+1)/(3x+2)	$\frac{(6 x^{2} - 5 x + 1)}{3 x + 2}$
33408	Simplify	(-1+i)(-1-i)	$(- 1 + i) (- 1 - i)$
33409	Simplify	(19x^-12y^6)(-4xy^7)	$(19 x^{- 12} y^{6}) (- 4 x y^{7})$
33410	Simplify	(-1-5i)(-1+5i)	$(- 1 - 5 i) (- 1 + 5 i)$
33411	Simplify	(x^2+1)(x-3)	$(x^{2} + 1) (x - 3)$
33412	Divide Using Long Polynomial Division	(x^3+9x^2-5x+11)/(x^2+2)	$\frac{(x^{3} + 9 x^{2} - 5 x + 11)}{(x^{2} + 2)}$
33413	Simplify	( cube root of x^7)/( square root of x^3)	$\frac{\sqrt[3]{x^{7}}}{\sqrt{x^{3}}}$
33414	Divide Using Long Polynomial Division	(x^3-13x^2+4x-12)/(x-1)	$\frac{(x^{3} - 13 x^{2} + 4 x - 12)}{(x - 1)}$
33415	Solve for y	square root of 4y+1- square root of y-2=3	$\sqrt{4 y + 1} - \sqrt{y - 2} = 3$
33416	Divide Using Long Polynomial Division	(-10x^3+33x^2-25x+22)/(-5x+4)	$\frac{- 10 x^{3} + 33 x^{2} - 25 x + 22}{- 5 x + 4}$
33417	Solve by Factoring	square root of -4x=100	$\sqrt{- 4 x} = 100$
33418	Divide Using Long Polynomial Division	(10x^3+46x^2-21x-27)÷(2x^2+8x-9)	$(10 x^{3} + 46 x^{2} - 21 x - 27) \div (2 x^{2} + 8 x - 9)$
33419	Divide Using Long Polynomial Division	(11x^2+2x^3+14+17x)÷(2x+5)	$(11 x^{2} + 2 x^{3} + 14 + 17 x) \div (2 x + 5)$
33420	Solve for x	4x^2-9x+3=0	$4 x^{2} - 9 x + 3 = 0$
33421	Divide Using Long Polynomial Division	(120x^2+78x-90)÷(12x+15)	$(120 x^{2} + 78 x - 90) \div (12 x + 15)$
33422	Graph	(3x-3)/(-x+2)	$\frac{3 x - 3}{- x + 2}$
33423	Divide Using Long Polynomial Division	(12m^7-8m^5+16m^4+6m^2)÷4m^3	$(12 m^{7} - 8 m^{5} + 16 m^{4} + 6 m^{2}) \div 4 m^{3}$
33424	Simplify	square root of 5x^8y^2* square root of 10x^3* square root of 12y	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}$
33425	Divide Using Long Polynomial Division	(16x^3-45x+30)÷(4x-5)	$(16 x^{3} - 45 x + 30) \div (4 x - 5)$
33426	Divide Using Long Polynomial Division	(24xy^3-16x^2y^2+32x^2y)÷8xy	$(24 x y^{3} - 16 x^{2} y^{2} + 32 x^{2} y) \div 8 x y$
33427	Solve for x	x^2+2x-1=0	$x^{2} + 2 x - 1 = 0$
33428	Divide Using Long Polynomial Division	(2a^2+a+3)÷(a-1)	$(2 a^{2} + a + 3) \div (a - 1)$
33429	Solve for x	x^2+x-20=0	$x^{2} + x - 20 = 0$
33430	Solve for x	x^2+9x+14=0	$x^{2} + 9 x + 14 = 0$
33431	Divide Using Long Polynomial Division	(36x5/6)÷(4x2/3)	$(36 x \frac{5}{6}) \div (4 x \frac{2}{3})$
33432	Divide Using Long Polynomial Division	(3x^3+2x^2-19x+1)/(x-2)	$\frac{3 x^{3} + 2 x^{2} - 19 x + 1}{x - 2}$
33433	Solve for x	x^2-7x-8=0	$x^{2} - 7 x - 8 = 0$
33434	Solve for x	x^2-x=6	$x^{2} - x = 6$
33435	Solve for x	x^2-16x+64=0	$x^{2} - 16 x + 64 = 0$
33436	Divide Using Long Polynomial Division	(-3x+4+18x^2)÷(5+6x)	$(- 3 x + 4 + 18 x^{2}) \div (5 + 6 x)$
33437	Divide Using Long Polynomial Division	(4x^2-13x+8)/(x+5)	$\frac{4 x^{2} - 13 x + 8}{x + 5}$
33438	Factor	1-2.25x^8	$1 - 2.25 x^{8}$
33439	Solve for x	x^2-12x+27=0	$x^{2} - 12 x + 27 = 0$
33440	Divide Using Long Polynomial Division	(5t^4-10t^2+6)/(t+2)	$\frac{5 t^{4} - 10 t^{2} + 6}{t + 2}$
33441	Simplify	(2x^-5y^4)^3	${(2 x^{- 5} y^{4})}^{3}$
33442	Divide Using Long Polynomial Division	(5x^3-3x^2+2x+6)/(x^3)	$\frac{5 x^{3} - 3 x^{2} + 2 x + 6}{x^{3}}$
33443	Divide Using Long Polynomial Division	(5x^3-7x^2-21x-9)/(x+1)	$\frac{5 x^{3} - 7 x^{2} - 21 x - 9}{x + 1}$
33444	Simplify	(x^(3/4))^(4/3)	${(x^{\frac{3}{4}})}^{\frac{4}{3}}$
33445	Simplify	(r/s)^12	${(\frac{r}{s})}^{12}$
33446	Simplify	(x^5)^7	${(x^{5})}^{7}$
33447	Simplify	(x^7)^4	${(x^{7})}^{4}$
33448	Simplify	(x^3)^6	${(x^{3})}^{6}$
33449	Divide Using Long Polynomial Division	(8x^3+35x^2-17x-5)/(x^2+5x+3)	$\frac{8 x^{3} + 35 x^{2} - 17 x - 5}{x^{2} + 5 x + 3}$
33450	Divide Using Long Polynomial Division	(8x^3-18x^2+11x-21)÷(2x-3)	$(8 x^{3} - 18 x^{2} + 11 x - 21) \div (2 x - 3)$
33451	Simplify	(x-4)(x+6)	$(x - 4) (x + 6)$
33452	Divide Using Long Polynomial Division	(8x^3-30x+21)÷(4x-6)	$(8 x^{3} - 30 x + 21) \div (4 x - 6)$
33453	Simplify	(x-4)(x-1)	$(x - 4) (x - 1)$
33454	Divide Using Long Polynomial Division	(8x^4+12x^3-2x)/(2x^2+x)	$\frac{8 x^{4} + 12 x^{3} - 2 x}{2 x^{2} + x}$
33455	Simplify	(x-3)(x-8)	$(x - 3) (x - 8)$
33456	Divide Using Long Polynomial Division	(8x^4-10x^3+16x^2+4x+4)/(2x^2+2)	$\frac{8 x^{4} - 10 x^{3} + 16 x^{2} + 4 x + 4}{2 x^{2} + 2}$
33457	Simplify	(x-y)(x^2+2xy+y^2)	$(x - y) (x^{2} + 2 x y + y^{2})$
33458	Simplify	(x-y)(x^2-xy+y^2)	$(x - y) (x^{2} - x y + y^{2})$
33459	Simplify	(x+9)(x-6)	$(x + 9) (x - 6)$
33460	Simplify	(x+8)(x-5)	$(x + 8) (x - 5)$
33461	Simplify	(x+5)(2x-6)	$(x + 5) (2 x - 6)$
33462	Divide Using Long Polynomial Division	(x^3+13x^2+4x-12)÷(x-1)	$(x^{3} + 13 x^{2} + 4 x - 12) \div (x - 1)$
33463	Simplify	(f+g)(-5)	$(f + g) (- 5)$
33464	Simplify	(a+8)(a-2)	$(a + 8) (a - 2)$
33465	Simplify	(-8+i)(-8-i)	$(- 8 + i) (- 8 - i)$
33466	Simplify	(6x+5y)(6x-5y)	$(6 x + 5 y) (6 x - 5 y)$
33467	Divide Using Long Polynomial Division	(x^3+y^3)÷(x+y)	$(x^{3} + y^{3}) \div (x + y)$
33468	Simplify	(7m^2-3m-7)(m^2-7m-6)	$(7 m^{2} - 3 m - 7) (m^{2} - 7 m - 6)$
33469	Divide Using Long Polynomial Division	(x^3-2x^2-6x-3)÷(x+1)	$(x^{3} - 2 x^{2} - 6 x - 3) \div (x + 1)$
33470	Simplify	(7x-3)(7x+3)	$(7 x - 3) (7 x + 3)$
33471	Simplify	(8+2i)(8-2i)	$(8 + 2 i) (8 - 2 i)$
33472	Simplify	(2x+4)/(10x)*(15x^2)/(x+2)	$\frac{2 x + 4}{10 x} \cdot \frac{15 x^{2}}{x + 2}$
33473	Simplify	(2x)/(5x+4)+(6x)/(2x+3)	$\frac{2 x}{5 x + 4} + \frac{6 x}{2 x + 3}$
33474	Divide Using Long Polynomial Division	(y^3+5y^2+1)/(y-2)	$\frac{y^{3} + 5 y^{2} + 1}{y - 2}$
33475	Simplify	(2x)/3	$\frac{2 x}{3}$
33476	Simplify	(2ab)/(a^2-b^2)-b/(a-b)+4	$\frac{2 a b}{a^{2} - b^{2}} - \frac{b}{a - b} + 4$
33477	Divide Using Long Polynomial Division	-4w^3+5w^2-7 , w-3	$- 4 w^{3} + 5 w^{2} - 7$ , $w - 3$
33478	Simplify	(-5y)/(2y-1)-(y+3)/(2y-1)	$\frac{- 5 y}{2 y - 1} - \frac{y + 3}{2 y - 1}$
33479	Simplify	(5a)/(5a+5)*(10a+10)/a	$\frac{5 a}{5 a + 5} \cdot \frac{10 a + 10}{a}$
33480	Convert to Radical Form	((x^7z)/2)^(5/6)	${(\frac{x^{7} z}{2})}^{\frac{5}{6}}$
33481	Convert to Radical Form	(12xy)^(2/3)	${(12 x y)}^{\frac{2}{3}}$
33482	Convert to Radical Form	(-16)^(3/2)	${(- 16)}^{\frac{3}{2}}$
33483	Simplify	(3x-12)/(x+5)*(x+6)/(2x-8)	$\frac{3 x - 12}{x + 5} \cdot \frac{x + 6}{2 x - 8}$
33484	Convert to Radical Form	(-21)(11/7)	$(- 21) (\frac{11}{7})$
33485	Convert to Radical Form	(40a4/7)÷(55a1/5)	$(40 a \frac{4}{7}) \div (55 a \frac{1}{5})$
33486	Convert to Radical Form	(-6x)^(-1/3)	${(- 6 x)}^{- \frac{1}{3}}$
33487	Convert to Radical Form	(-6x)^(1/5)	${(- 6 x)}^{\frac{1}{5}}$
33488	Convert to Radical Form	(6x^3y^3)^(1/5)	${(6 x^{3} y^{3})}^{\frac{1}{5}}$
33489	Simplify	i^7*0	$i^{70}$
33490	Simplify	square root of 12xy* square root of 9xy^2	$\sqrt{12 x y} \cdot \sqrt{9 x y^{2}}$
33491	Simplify	(-5x^3y^2)(-2x^-11y^-2)	$(- 5 x^{3} y^{2}) (- 2 x^{- 11} y^{- 2})$
33492	Convert to Radical Form	-(8x)^(4/5)	$- {(8 x)}^{\frac{4}{5}}$
33493	Simplify	square root of 72x- square root of 32x	$\sqrt{72 x} - \sqrt{32 x}$
33494	Convert to Radical Form	(m^(1/3)n^(7/3))^(3/4)	${(m^{\frac{1}{3}} n^{\frac{7}{3}})}^{\frac{3}{4}}$
33495	Simplify	square root of 72x- square root of 8x	$\sqrt{72 x} - \sqrt{8 x}$
33496	Convert to Radical Form	(xy)^(4/5)	${(x y)}^{\frac{4}{5}}$
33497	Simplify	( cube root of 32)/( cube root of 12)	$\frac{\sqrt[3]{32}}{\sqrt[3]{12}}$
33498	Convert to Radical Form	(xy)^(4/7)	${(x y)}^{\frac{4}{7}}$
33499	Simplify	i^92	$i^{92}$
33500	Convert to Radical Form	10^(7/8)	$10^{\frac{7}{8}}$