Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
108901	Simplify	(v+9)(v-7)	$(v + 9) (v - 7)$
108902	Simplify	(w+10)(w-8)	$(w + 10) (w - 8)$
108903	Graph	y<=4	$y \leq 4$
108904	Simplify	(m-n)(m+n)	$(m - n) (m + n)$
108905	Simplify	(n+1)(n^2+4n+5)	$(n + 1) (n^{2} + 4 n + 5)$
108906	Simplify	(k-2)(k-3)	$(k - 2) (k - 3)$
108907	Find the Roots (Zeros)	x^4+72x^2-729	$x^{4} + 72 x^{2} - 729$
108908	Simplify	(k+4)(5k-1)	$(k + 4) (5 k - 1)$
108909	Simplify	(m+4)(m+1)	$(m + 4) (m + 1)$
108910	Simplify	(-m+5n)(-m-5n)	$(- m + 5 n) (- m - 5 n)$
108911	Solve Using the Quadratic Formula	-6x^2-2-3x=-8	$- 6 x^{2} - 2 - 3 x = - 8$
108912	Simplify	(f-g)(-2)	$(f - g) (- 2)$
108913	Write in Standard Form	10a(-6a^2+2a-7)	$10 a (- 6 a^{2} + 2 a - 7)$
108914	Simplify	(fg)(0)	$(f g) (0)$
108915	Simplify	(g-f)(x)	$(g - f) (x)$
108916	Simplify	(9x-7)(9x+7)	$(9 x - 7) (9 x + 7)$
108917	Convert to an Improper Fraction	5 2/3	$5 \frac{2}{3}$
108918	Simplify	(a+2b)(4a+b)	$(a + 2 b) (4 a + b)$
108919	Simplify	(9x+3)(9x-3)	$(9 x + 3) (9 x - 3)$
108920	Simplify	(b+4)(b-2)	$(b + 4) (b - 2)$
108921	Simplify	(a-8)(a+2)	$(a - 8) (a + 2)$
108922	Simplify	(c+10)(c-8)	$(c + 10) (c - 8)$
108923	Factor by Grouping	2a^2+8ab-3a-12b	$2 a^{2} + 8 a b - 3 a - 12 b$
108924	Simplify	(c+5)(c-5)	$(c + 5) (c - 5)$
108925	Simplify	(a-6b)(a+6b)	$(a - 6 b) (a + 6 b)$
108926	Simplify	(a-2)(a-13)	$(a - 2) (a - 13)$
108927	Find the Roots (Zeros)	y=x^2-16x+64	$y = x^{2} - 16 x + 64$
108928	Simplify	(a+6)(a-4)	$(a + 6) (a - 4)$
108929	Find the Roots (Zeros)	y=x^2+18x+81	$y = x^{2} + 18 x + 81$
108930	Simplify	(a+9)(a-2)	$(a + 9) (a - 2)$
108931	Simplify	(a+9)(a-6)	$(a + 9) (a - 6)$
108932	Convert to Radical Form	(144x)^(1/2)	${(144 x)}^{\frac{1}{2}}$
108933	Simplify	(a+9)(a-7)	$(a + 9) (a - 7)$
108934	Simplify	(a+b)(a-b)(b-a)	$(a + b) (a - b) (b - a)$
108935	Simplify	(8-3i)-(6+i)	$(8 - 3 i) - (6 + i)$
108936	Find the Asymptotes	f(x)=15/(1+4e^(-0.2x))	$f (x) = \frac{15}{1 + 4 e^{- 0.2 x}}$
108937	Simplify	(8-3i)(-2-5i)	$(8 - 3 i) (- 2 - 5 i)$
108938	Simplify	(-8+4i)-(2-2i)	$(- 8 + 4 i) - (2 - 2 i)$
108939	Simplify	8+7i+(2-i)	$8 + 7 i + (2 - i)$
108940	Simplify	(8x+3y)(8x-3y)	$(8 x + 3 y) (8 x - 3 y)$
108941	Simplify	(8c-1)(6c-7)	$(8 c - 1) (6 c - 7)$
108942	Simplify	(7+4i)-(1+2i)	$(7 + 4 i) - (1 + 2 i)$
108943	Simplify	(6x+7y)(6x-7y)	$(6 x + 7 y) (6 x - 7 y)$
108944	Simplify	(6x+2)(2x+8)	$(6 x + 2) (2 x + 8)$
108945	Simplify	(6w-11w^2)-(4+7w^2)	$(6 w - 11 w^{2}) - (4 + 7 w^{2})$
108946	Simplify	(-6k+4)(-7k^2+2k-7)	$(- 6 k + 4) (- 7 k^{2} + 2 k - 7)$
108947	Find the Center and Radius	x^2+y^2+4x+6y+12=0	$x^{2} + y^{2} + 4 x + 6 y + 12 = 0$
108948	Simplify	(6x-5)(6x+5)	$(6 x - 5) (6 x + 5)$
108949	Simplify	(7-5i)(-3+9i)-(5+6i)^2	$(7 - 5 i) (- 3 + 9 i) - {(5 + 6 i)}^{2}$
108950	Simplify	(7-4i)-(-3+6i)	$(7 - 4 i) - (- 3 + 6 i)$
108951	Simplify	(7-2i)(3+i)	$(7 - 2 i) (3 + i)$
108952	Simplify	(7-i)(7+i)	$(7 - i) (7 + i)$
108953	Simplify	(7g-4)(7g+4)	$(7 g - 4) (7 g + 4)$
108954	Convert to Set Notation	4/5x-1/4<=7/10x-4/5	$\frac{4}{5} x - \frac{1}{4} \leq \frac{7}{10} x - \frac{4}{5}$
108955	Simplify	(7h-2)(7h+2)	$(7 h - 2) (7 h + 2)$
108956	Simplify	8x^2-7x+2+(3x^2-9x-6)	$8 x^{2} - 7 x + 2 + (3 x^{2} - 9 x - 6)$
108957	Simplify	(x^2-4)/(2-x)	$\frac{x^{2} - 4}{2 - x}$
108958	Convert to Interval Notation	\|x-5\|>=8	$\| x - 5 \| \geq 8$
108959	Simplify	(-3x^5)/(x^13)*(2x^-10y)/(15y^-2)	$\frac{- 3 x^{5}}{x^{13}} \cdot \frac{2 x^{- 10} y}{15 y^{- 2}}$
108960	Convert to Interval Notation	4/(3x-1)>-5/x	$\frac{4}{3 x - 1} > \frac{- 5}{x}$
108961	Convert to Interval Notation	(5-x)(3x-1)>0	$(5 - x) (3 x - 1) > 0$
108962	Simplify	(3x^2+25x+28)/(12x^2+7x-12)	$\frac{3 x^{2} + 25 x + 28}{12 x^{2} + 7 x - 12}$
108963	Convert to Interval Notation	2x^2+25<10x	$2 x^{2} + 25 < 10 x$
108964	Convert to Interval Notation	\|2x+3\|<11	$\| 2 x + 3 \| < 11$
108965	Simplify	(2x-4)/15*6/(2-x)	$\frac{2 x - 4}{15} \cdot \frac{6}{2 - x}$
108966	Simplify	(3a^2-24a)/(3a^2+12a)	$\frac{3 a^{2} - 24 a}{3 a^{2} + 12 a}$
108967	Simplify	-(36x^3)/(42x^2)	$- \frac{36 x^{3}}{42 x^{2}}$
108968	Simplify	3/t*4/t	$\frac{3}{t} \cdot \frac{4}{t}$
108969	Find the Vertex	y=-2x^2-12x-14	$y = - 2 x^{2} - 12 x - 14$
108970	Add	81+36	$81 + 36$
108971	Simplify	-3/(x-2)+(1-x)/x	$- \frac{3}{x - 2} + \frac{1 - x}{x}$
108972	Simplify	(21+5x)/(15x)-21/(15x)	$\frac{21 + 5 x}{15 x} - \frac{21}{15 x}$
108973	Expand the Logarithmic Expression	log base 8 of mn^2	$\log_{8} (m n^{2})$
108974	Simplify	(2x)/(x^2+2x-3)+(x+1)/(2x-2)	$\frac{2 x}{x^{2} + 2 x - 3} + \frac{x + 1}{2 x - 2}$
108975	Find the Roots (Zeros)	f(x)=x^2-16x+48	$f (x) = x^{2} - 16 x + 48$
108976	Simplify	(2i)/(2+i)+5/(2-i)	$\frac{2 i}{2 + i} + \frac{5}{2 - i}$
108977	Simplify	(2a+5)/(a^2+5a+4)+9/((a+4)(a^2+4a+3))-(ab)/(a^2b+7ab+12b)	$\frac{2 a + 5}{a^{2} + 5 a + 4} + \frac{9}{(a + 4) (a^{2} + 4 a + 3)} - \frac{a b}{a^{2} b + 7 a b + 12 b}$
108978	Simplify	(2x+1)/(x-5)-4/(x^2-3x-10)	$\frac{2 x + 1}{x - 5} - \frac{4}{x^{2} - 3 x - 10}$
108979	Simplify	(2x+10)/(x^2+10x+25)	$\frac{2 x + 10}{x^{2} + 10 x + 25}$
108980	Find the Roots (Zeros)	f(x)=(x-5)(5x+2)	$f (x) = (x - 5) (5 x + 2)$
108981	Simplify	(2x+6)/(5x+10)*(x+2)/(x^2+4x+3)	$\frac{2 x + 6}{5 x + 10} \cdot \frac{x + 2}{x^{2} + 4 x + 3}$
108982	Simplify	2/(8i)	$\frac{2}{8 i}$
108983	Find the Domain	f(x) = square root of 10-5x	$f (x) = \sqrt{10 - 5 x}$
108984	Simplify	2/(49z^3y)-1/(14z^2y)	$\frac{2}{49 z^{3} y} - \frac{1}{14 z^{2} y}$
108985	Simplify	2/( square root of 42)	$\frac{2}{\sqrt{42}}$
108986	Simplify	2/x-x/3	$\frac{2}{x} - \frac{x}{3}$
108987	Simplify	(20a)/b-(9b)/5	$\frac{20 a}{b} - \frac{9 b}{5}$
108988	Simplify	4/(y^2-3y+2)+6/(y^2-1)	$\frac{4}{y^{2} - 3 y + 2} + \frac{6}{y^{2} - 1}$
108989	Simplify	4/(x+3)-(3x)/(x^2-9)	$\frac{4}{x + 3} - \frac{3 x}{x^{2} - 9}$
108990	Simplify	4/(a-3)+9/(a-5)	$\frac{4}{a - 3} + \frac{9}{a - 5}$
108991	Simplify	45/(10x-10)	$\frac{45}{10 x - 10}$
108992	Simplify	(x-2)/(x^2+4x-12)	$\frac{x - 2}{x^{2} + 4 x - 12}$
108993	Convert to Radical Form	y^(1/8)	$y^{\frac{1}{8}}$
108994	Simplify	(4x^3)/(y^2)*(y^-3x^-2)/(8x^-1)	$\frac{4 x^{3}}{y^{2}} \cdot \frac{y^{- 3} x^{- 2}}{8 x^{- 1}}$
108995	Simplify	(4x^2-25)/(2x+5)	$\frac{4 x^{2} - 25}{2 x + 5}$
108996	Simplify	(4x^2-y^2)/((xy)/(2/y-1/x))	$\frac{4 x^{2} - y^{2}}{\frac{x y}{\frac{2}{y} - \frac{1}{x}}}$
108997	Convert to Interval Notation	\|8-4x\|<=3	$\| 8 - 4 x \| \leq 3$
108998	Simplify	(4x^2-y^2)/(8x^2+10xy+3y^2)*(4x^2-9xy-9y^2)/(2x^2-5xy-3y^2)	$\frac{4 x^{2} - y^{2}}{8 x^{2} + 10 x y + 3 y^{2}} \cdot \frac{4 x^{2} - 9 x y - 9 y^{2}}{2 x^{2} - 5 x y - 3 y^{2}}$
108999	Find the x and y Intercepts	a(x)=(x-3)^2-2	$a (x) = {(x - 3)}^{2} - 2$
109000	Simplify	(3x-5)/(x^2-25)-2/(x+5)	$\frac{3 x - 5}{x^{2} - 25} - \frac{2}{x + 5}$