Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110101	Graph	xy>=10	$x y \geq 10$
110102	Graph	f(x)=10-\|x\|	$f (x) = 10 - \| x \|$
110103	Graph	f(x)=\|x+6\|	$f (x) = \| x + 6 \|$
110104	Multiply	(5x+y)(5x-y)	$(5 x + y) (5 x - y)$
110105	Multiply	(5x-2)(5x-2)	$(5 x - 2) (5 x - 2)$
110106	Multiply	(6- square root of 3)(6+ square root of 3)	$(6 - \sqrt{3}) (6 + \sqrt{3})$
110107	Multiply	(7r^2-6r-6)(2r-4)	$(7 r^{2} - 6 r - 6) (2 r - 4)$
110108	Write as a Single Logarithm	3 log of 2+ log of 7	$3 \log (2) + \log (7)$
110109	Multiply	(9+ square root of 2)(9- square root of 2)	$(9 + \sqrt{2}) (9 - \sqrt{2})$
110110	Multiply	(8p-2)(6p+2)	$(8 p - 2) (6 p + 2)$
110111	Simplify/Condense	7 log base 3 of k+6 log base 3 of m-9 log base 3 of n	$7 \log_{3} (k) + 6 \log_{3} (m) - 9 \log_{3} (n)$
110112	Multiply	(7x+9)(7x-9)	$(7 x + 9) (7 x - 9)$
110113	Multiply	(8 square root of 3-2 square root of 2)(8 square root of 3+2 square root of 2)	$(8 \sqrt{3} - 2 \sqrt{2}) (8 \sqrt{3} + 2 \sqrt{2})$
110114	Multiply	(8- square root of 6)(8+ square root of 6)	$(8 - \sqrt{6}) (8 + \sqrt{6})$
110115	Multiply	(4 square root of a+ square root of b)(4 square root of a- square root of b)	$(4 \sqrt{a} + \sqrt{b}) (4 \sqrt{a} - \sqrt{b})$
110116	Find the Vertex	y=4x^2-16x+16	$y = 4 x^{2} - 16 x + 16$
110117	Multiply	(5x+7)(5x-7)	$(5 x + 7) (5 x - 7)$
110118	Multiply	(5b+6)(5b-6)	$(5 b + 6) (5 b - 6)$
110119	Find the Inverse	natural log of x-4	$\ln (x - 4)$
110120	Multiply	(5a+6)(5a-6)	$(5 a + 6) (5 a - 6)$
110121	Multiply	(5r+6)(5r-6)	$(5 r + 6) (5 r - 6)$
110122	Find the Roots (Zeros)	y=x^2-7x-30	$y = x^{2} - 7 x - 30$
110123	Multiply	(9x+8)(9x-8)	$(9 x + 8) (9 x - 8)$
110124	Multiply	(a+5)(a^2-8a+8)	$(a + 5) (a^{2} - 8 a + 8)$
110125	Multiply	(a+6)(a-4)	$(a + 6) (a - 4)$
110126	Multiply	(a-10)(a+10)	$(a - 10) (a + 10)$
110127	Multiply	(9x+7)(9x-7)	$(9 x + 7) (9 x - 7)$
110128	Multiply	(f+2g)(2f^2+3(fg)-g^2)	$(f + 2 g) (2 f^{2} + 3 f g - g^{2})$
110129	Multiply	(i square root of -162)( square root of -108)	$(i \sqrt{- 162}) (\sqrt{- 108})$
110130	Multiply	(x+1)(x-1)(x-2)	$(x + 1) (x - 1) (x - 2)$
110131	Multiply	(x+1)(x+4)	$(x + 1) (x + 4)$
110132	Multiply	(x+1)(x+6)	$(x + 1) (x + 6)$
110133	Find the Roots (Zeros)	x^3-6x^2+13x-10	$x^{3} - 6 x^{2} + 13 x - 10$
110134	Multiply	(x+ square root of 3)(x- square root of 3)	$(x + \sqrt{3}) (x - \sqrt{3})$
110135	Multiply	(x+2)(x-4)	$(x + 2) (x - 4)$
110136	Find the Domain and Range	f(x)=10x-x^2-16	$f (x) = 10 x - x^{2} - 16$
110137	Multiply	(x-x^3+x^5)(x^2-1+x^4)	$(x - x^{3} + x^{5}) (x^{2} - 1 + x^{4})$
110138	Multiply	(x+3/7)(x-1/7)	$(x + \frac{3}{7}) (x - \frac{1}{7})$
110139	Find the x and y Intercepts	5x-y=1	$5 x - y = 1$
110140	Multiply	(x- square root of 2)(x+ square root of 2)	$(x - \sqrt{2}) (x + \sqrt{2})$
110141	Find the Inverse	g(x)=-4x+1	$g (x) = - 4 x + 1$
110142	Multiply	(x+9)(x+6)	$(x + 9) (x + 6)$
110143	Multiply	(x+5)(x-6)	$(x + 5) (x - 6)$
110144	Multiply	(x+4)(x+9)	$(x + 4) (x + 9)$
110145	Multiply	(x+3)(x+9)	$(x + 3) (x + 9)$
110146	Multiply	(x-4)(x+1)	$(x - 4) (x + 1)$
110147	Multiply	(x-3)(x-8)	$(x - 3) (x - 8)$
110148	Multiply	(x-2)(x-7)	$(x - 2) (x - 7)$
110149	Find the Domain	f(x) = square root of 4x-36	$f (x) = \sqrt{4 x - 36}$
110150	Multiply	(x-2)(x+6)	$(x - 2) (x + 6)$
110151	Write as a Single Logarithm	5 log base 7 of x-2 log base 7 of x	$5 \log_{7} (x) - 2 \log_{7} (x)$
110152	Multiply	(x-2)(x^2-3x+5)	$(x - 2) (x^{2} - 3 x + 5)$
110153	Multiply	(x-4)(x+4)(x^2+16)	$(x - 4) (x + 4) (x^{2} + 16)$
110154	Multiply	(x-4)(x+2)	$(x - 4) (x + 2)$
110155	Multiply	(x-6)(x-2)	$(x - 6) (x - 2)$
110156	Multiply	(x-6i)(x+6i)	$(x - 6 i) (x + 6 i)$
110157	Expand the Logarithmic Expression	log of ( square root of z^3)/(x^5y)	$\log (\frac{\sqrt{z^{3}}}{x^{5} y})$
110158	Multiply	(x-8)(x+3)	$(x - 8) (x + 3)$
110159	Multiply	(y+2)(y-3)	$(y + 2) (y - 3)$
110160	Multiply	(2x+6)^2	${(2 x + 6)}^{2}$
110161	Multiply	(2m-p)^4	${(2 m - p)}^{4}$
110162	Convert to a Simplified Fraction	16 2/3%	$16 \frac{2}{3} %$
110163	Multiply	(3x+6)^2	${(3 x + 6)}^{2}$
110164	Multiply	(3-4i)^2	${(3 - 4 i)}^{2}$
110165	Find the Center and Radius	x^2+y^2+4x-2y-31=0	$x^{2} + y^{2} + 4 x - 2 y - 31 = 0$
110166	Multiply	(3-2i)^2	${(3 - 2 i)}^{2}$
110167	Simplify	6(x+4)	$6 (x + 4)$
110168	Simplify/Condense	log base a of 18* log base 3 of a	$\log_{a} (18) \cdot \log_{3} (a)$
110169	Multiply	(7^3*8^6)^6	${(7^{3} \cdot 8^{6})}^{6}$
110170	Multiply	(y-6)(y+6)	$(y - 6) (y + 6)$
110171	Multiply	(6x+4)^2	${(6 x + 4)}^{2}$
110172	Multiply	(7+9i)^2	${(7 + 9 i)}^{2}$
110173	Multiply	(8x+5)^2	${(8 x + 5)}^{2}$
110174	Find the Degree, Leading Term, and Leading Coefficient	5z+2z^3+3z^4	$5 z + 2 z^{3} + 3 z^{4}$
110175	Multiply	(7x+9)^2	${(7 x + 9)}^{2}$
110176	Multiply	(7x-3y)^2	${(7 x - 3 y)}^{2}$
110177	Find the Roots (Zeros)	y=2x^2+7x-9	$y = 2 x^{2} + 7 x - 9$
110178	Multiply	(x+h)^2	${(x + h)}^{2}$
110179	Find the Roots (Zeros)	y=x^3-6x^2+9x-54	$y = x^{3} - 6 x^{2} + 9 x - 54$
110180	Multiply	(a-13/2)^2	${(a - \frac{13}{2})}^{2}$
110181	Multiply	(9x+2)^2	${(9 x + 2)}^{2}$
110182	Multiply	(p-q)^2	${(p - q)}^{2}$
110183	Multiply	(p-8)^2	${(p - 8)}^{2}$
110184	Find the x and y Intercepts	y=x^3-343	$y = x^{3} - 343$
110185	Multiply	(x^2+x+7)(x-7)	$(x^{2} + x + 7) (x - 7)$
110186	Multiply	(-x^8)(-x)	$(- x^{8}) (- x)$
110187	Multiply	( square root of w+ square root of x)( square root of w+ square root of x)	$(\sqrt{w} + \sqrt{x}) (\sqrt{w} + \sqrt{x})$
110188	Find the Asymptotes	y=(x-6)/(x^2+5x+6)	$y = \frac{x - 6}{x^{2} + 5 x + 6}$
110189	Multiply	( square root of x- square root of y)( square root of x- square root of y)	$(\sqrt{x} - \sqrt{y}) (\sqrt{x} - \sqrt{y})$
110190	Multiply	(2 square root of x+ square root of 5)(2 square root of x- square root of 5)	$(2 \sqrt{x} + \sqrt{5}) (2 \sqrt{x} - \sqrt{5})$
110191	Find the Domain and Range	y = square root of 3x-4	$y = \sqrt{3 x - 4}$
110192	Simplify	(x-4)/(2x)+(3x)/(2x-1)	$\frac{x - 4}{2 x} + \frac{3 x}{2 x - 1}$
110193	Multiply	(1+ square root of 72)(5+ square root of 2)	$(1 + \sqrt{72}) (5 + \sqrt{2})$
110194	Find the Axis of Symmetry	f(x)=2x^2-3x+3	$f (x) = 2 x^{2} - 3 x + 3$
110195	Multiply	(1- square root of 5)(2+ square root of 5)	$(1 - \sqrt{5}) (2 + \sqrt{5})$
110196	Convert to Radical Form	144x^(1/2)	$144 x^{\frac{1}{2}}$
110197	Multiply	(-3 square root of 24)(5 square root of 20)	$(- 3 \sqrt{24}) (5 \sqrt{20})$
110198	Multiply	(2x-3)(2x-3)	$(2 x - 3) (2 x - 3)$
110199	Factor by Grouping	9r^3+21r^2-21r-49	$9 r^{3} + 21 r^{2} - 21 r - 49$
110200	Multiply	(2x-3)(4x^2+6x+9)	$(2 x - 3) (4 x^{2} + 6 x + 9)$