Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110201	Multiply	(2x+7)(2x-7)	$(2 x + 7) (2 x - 7)$
110202	Multiply	(-2-3 square root of 5)(5- square root of 5)	$(- 2 - 3 \sqrt{5}) (5 - \sqrt{5})$
110203	Factor by Grouping	16r^3+28r^2-28r-49	$16 r^{3} + 28 r^{2} - 28 r - 49$
110204	Multiply	(3+ cube root of 5)(9-3 cube root of 5+ cube root of 25)	$(3 + \sqrt[3]{5}) (9 - 3 \sqrt[3]{5} + \sqrt[3]{25})$
110205	Multiply	(3+ square root of 11)(4- square root of 11)	$(3 + \sqrt{11}) (4 - \sqrt{11})$
110206	Convert to a Decimal	3 5/9	$3 \frac{5}{9}$
110207	Multiply	(3x+y)(3x-y)	$(3 x + y) (3 x - y)$
110208	Multiply	(3x+2)(4x-1)	$(3 x + 2) (4 x - 1)$
110209	Multiply	( square root of 7-2)( square root of 7+2)	$(\sqrt{7} - 2) (\sqrt{7} + 2)$
110210	Find Where Undefined/Discontinuous	y=(18-3x)/(x^2-9x+18)	$y = \frac{18 - 3 x}{x^{2} - 9 x + 18}$
110211	Multiply	( square root of 7- square root of 6)( square root of 7+ square root of 6)	$(\sqrt{7} - \sqrt{6}) (\sqrt{7} + \sqrt{6})$
110212	Find the Roots (Zeros)	g(x)=(-5x-1)(2x+8)	$g (x) = (- 5 x - 1) (2 x + 8)$
110213	Multiply	( square root of 8- square root of 6)( square root of 8+ square root of 6)	$(\sqrt{8} - \sqrt{6}) (\sqrt{8} + \sqrt{6})$
110214	Multiply	( square root of 6+7i)( square root of 6-7i)	$(\sqrt{6} + 7 i) (\sqrt{6} - 7 i)$
110215	Multiply	( square root of 5+ square root of 7)( square root of 5- square root of 7)	$(\sqrt{5} + \sqrt{7}) (\sqrt{5} - \sqrt{7})$
110216	Multiply	( square root of -4)( square root of -49)	$(\sqrt{- 4}) (\sqrt{- 49})$
110217	Multiply	( square root of -16)( square root of -49)	$(\sqrt{- 16}) (\sqrt{- 49})$
110218	Multiply	( square root of 2a-5)(7 square root of 2a-5)	$(\sqrt{2 a} - 5) (7 \sqrt{2 a} - 5)$
110219	Determine if Odd, Even, or Neither	f(x)=2x^2+x^4	$f (x) = 2 x^{2} + x^{4}$
110220	Multiply	( square root of 3+6i)( square root of 3-6i)	$(\sqrt{3} + 6 i) (\sqrt{3} - 6 i)$
110221	Multiply	( square root of -36)( square root of -25)	$(\sqrt{- 36}) (\sqrt{- 25})$
110222	Find the Vertex	f(x)=2x^2+6x+1	$f (x) = 2 x^{2} + 6 x + 1$
110223	Multiply	( square root of -36)( square root of -9)	$(\sqrt{- 36}) (\sqrt{- 9})$
110224	Find the Center and Radius	x^2+(y-1)^2=64	$x^{2} + {(y - 1)}^{2} = 64$
110225	Find the Center and Radius	x^2+y^2-4x-2y-4=0	$x^{2} + y^{2} - 4 x - 2 y - 4 = 0$
110226	Simplify	( square root of x- square root of 13)^2	${(\sqrt{x} - \sqrt{13})}^{2}$
110227	Simplify	( square root of 7- square root of 10)^2	${(\sqrt{7} - \sqrt{10})}^{2}$
110228	Find the Discriminant	x^2-38x+361=0	$x^{2} - 38 x + 361 = 0$
110229	Simplify	( square root of 17+x)^2	${(\sqrt{17} + x)}^{2}$
110230	Simplify	( fifth root of m)^11	${(\sqrt[5]{m})}^{11}$
110231	Simplify	( sixth root of x^5)^7	${(\sqrt[6]{x^{5}})}^{7}$
110232	Simplify	( eighth root of 16x^12)^6	${(\sqrt[8]{16 x^{12}})}^{6}$
110233	Evaluate Using Scientific Notation	(310^6)(810^-4)	$(3 \cdot 10^{6}) (8 \cdot 10^{- 4})$
110234	Simplify	(x^3+3x^2+3x+1)/(x+1)	$\frac{x^{3} + 3 x^{2} + 3 x + 1}{x + 1}$
110235	Simplify	(x^2-3x-40)/(x+5)	$\frac{x^{2} - 3 x - 40}{x + 5}$
110236	Find the Roots (Zeros)	x^4+6x^3+6x^2+6x+5=0	$x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 5 = 0$
110237	Simplify	(2 square root of 3t+5)^2	${(2 \sqrt{3 t} + 5)}^{2}$
110238	Find the Roots (Zeros)	x^4+62x^2+128x+65	$x^{4} + 62 x^{2} + 128 x + 65$
110239	Simplify	(-12x^3-48x^2)/(-4x)	$\frac{- 12 x^{3} - 48 x^{2}}{- 4 x}$
110240	Simplify	(-3+ square root of -9)^2	${(- 3 + \sqrt{- 9})}^{2}$
110241	Simplify	(3x^2+7x-20)/(x+4)	$\frac{3 x^{2} + 7 x - 20}{x + 4}$
110242	Convert to an Improper Fraction	2 5/7	$2 \frac{5}{7}$
110243	Simplify	(3 square root of x+ square root of 3)(3 square root of x- square root of 3)	$(3 \sqrt{x} + \sqrt{3}) (3 \sqrt{x} - \sqrt{3})$
110244	Simplify	( square root of 5- square root of 3)( square root of 5+ square root of 3)	$(\sqrt{5} - \sqrt{3}) (\sqrt{5} + \sqrt{3})$
110245	Simplify	( square root of u+ square root of v)( square root of u- square root of v)	$(\sqrt{u} + \sqrt{v}) (\sqrt{u} - \sqrt{v})$
110246	Simplify	(2 square root of 24)(7 square root of 18)	$(2 \sqrt{24}) (7 \sqrt{18})$
110247	Convert to Radical Form	y^1.2	$y^{1.2}$
110248	Simplify	( fourth root of 9x^2y^6)( fourth root of 9x^6y^2)	$(\sqrt[4]{9 x^{2} y^{6}}) (\sqrt[4]{9 x^{6} y^{2}})$
110249	Multiply	square root of 12* square root of 6	$\sqrt{12} \cdot \sqrt{6}$
110250	Multiply	16*8	$16 \cdot 8$
110251	Multiply	(2x-3)^2	${(2 x - 3)}^{2}$
110252	Find the Roots (Zeros)	f(x)=(-x-2)(-2x-3)	$f (x) = (- x - 2) (- 2 x - 3)$
110253	Multiply	square root of 32* square root of 2	$\sqrt{32} \cdot \sqrt{2}$
110254	Multiply	square root of 7* square root of 343	$\sqrt{7} \cdot \sqrt{343}$
110255	Write as a Single Logarithm	natural log of x/(x-5)+ natural log of (x+5)/x- natural log of x^2-25	$\ln (\frac{x}{x - 5}) + \ln (\frac{x + 5}{x}) - \ln (x^{2} - 25)$
110256	Find the Slope	2y=3x+7	$2 y = 3 x + 7$
110257	Evaluate the Function	f(2)=4x^2-x-3	$f (2) = 4 x^{2} - x - 3$
110258	Simplify	square root of (2x)/6* square root of x/3	$\sqrt{\frac{2 x}{6}} \cdot \sqrt{\frac{x}{3}}$
110259	Simplify	square root of cube root of 25	$\sqrt{\sqrt[3]{25}}$
110260	Simplify	(3x+9)/(2x+6)+(8x+12)/(x^2+6x+9)	$\frac{3 x + 9}{2 x + 6} + \frac{8 x + 12}{x^{2} + 6 x + 9}$
110261	Multiply	6x(5x+7)	$6 x (5 x + 7)$
110262	Simplify	(x/25-1/x)/(1-5/x)	$\frac{\frac{x}{25} - \frac{1}{x}}{1 - \frac{5}{x}}$
110263	Simplify	( fourth root of y^3)/( sixth root of y^3)	$\frac{\sqrt[4]{y^{3}}}{\sqrt[6]{y^{3}}}$
110264	Simplify	( fourth root of 2)/( fourth root of 6)	$\frac{\sqrt[4]{2}}{\sqrt[4]{6}}$
110265	Simplify	( fourth root of 96a^18b^4)/( fourth root of 3a^2b^4)	$\frac{\sqrt[4]{96 a^{18} b^{4}}}{\sqrt[4]{3 a^{2} b^{4}}}$
110266	Find the Domain	f(x)=1/( square root of x-7)	$f (x) = \frac{1}{\sqrt{x - 7}}$
110267	Simplify	( fourth root of x^2y^3)/( cube root of xy)	$\frac{\sqrt[4]{x^{2} y^{3}}}{\sqrt[3]{x y}}$
110268	Find the Domain	f(x) = square root of 6x-36	$f (x) = \sqrt{6 x - 36}$
110269	Simplify	( fourth root of w^2)/( sixth root of w^2)	$\frac{\sqrt[4]{w^{2}}}{\sqrt[6]{w^{2}}}$
110270	Simplify	( cube root of 81x^10)/( cube root of 3x)	$\frac{\sqrt[3]{81 x^{10}}}{\sqrt[3]{3 x}}$
110271	Simplify	( square root of 5-2i)^2	${(\sqrt{5} - 2 i)}^{2}$
110272	Simplify	(x^2+7x+10)/(x^2-3x-10)	$\frac{x^{2} + 7 x + 10}{x^{2} - 3 x - 10}$
110273	Simplify	(x^2+8x-9)/(x^2-x)	$\frac{x^{2} + 8 x - 9}{x^{2} - x}$
110274	Find the Roots (Zeros)	y=x^2+x-20	$y = x^{2} + x - 20$
110275	Simplify	(x^2+3x)/(x^2-9)	$\frac{x^{2} + 3 x}{x^{2} - 9}$
110276	Find the Roots (Zeros)	y=x^2+5x-24	$y = x^{2} + 5 x - 24$
110277	Find the Roots (Zeros)	y=x^2-9x-36	$y = x^{2} - 9 x - 36$
110278	Simplify	(x^(-1/2)x^(5/2))/(x^(1/3))	$\frac{x^{- \frac{1}{2}} x^{\frac{5}{2}}}{x^{\frac{1}{3}}}$
110279	Simplify	(x^-1)/(x^-2+y^-3)	$\frac{x^{- 1}}{x^{- 2} + y^{- 3}}$
110280	Simplify	(x^-1)/(x^-2-y^-5)	$\frac{x^{- 1}}{x^{- 2} - y^{- 5}}$
110281	Simplify	(x^(5/2)x^(-1/2))/(x^(1/3))	$\frac{x^{\frac{5}{2}} x^{- \frac{1}{2}}}{x^{\frac{1}{3}}}$
110282	Find the Inverse	f(x)=-4x-12	$f (x) = - 4 x - 12$
110283	Simplify	(x^2-x-2)/(x^2-4)	$\frac{x^{2} - x - 2}{x^{2} - 4}$
110284	Simplify	(x^2-x-6)/(2x^2+x-6)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6}$
110285	Simplify	(x^2-64)/(8-x)	$\frac{x^{2} - 64}{8 - x}$
110286	Solve by Completing the Square	3x^2+18x=21	$3 x^{2} + 18 x = 21$
110287	Simplify	(x^2-121)/(11-x)	$\frac{x^{2} - 121}{11 - x}$
110288	Convert from Interval to Inequality	[2,8) intersect (4,10]	$[2, 8) \cap (4, 10]$
110289	Simplify	(x^2-25)/(x^2-12x+35)	$\frac{x^{2} - 25}{x^{2} - 12 x + 35}$
110290	Simplify	(x^2-36)/(x^2+4x-12)	$\frac{x^{2} - 36}{x^{2} + 4 x - 12}$
110291	Simplify	(x^2-4)/(x-2)	$\frac{x^{2} - 4}{x - 2}$
110292	Find the Domain and Range	f(x)=-2x^2+2x-5	$f (x) = - 2 x^{2} + 2 x - 5$
110293	Simplify	(x^2-4)/(x^2+2x)	$\frac{x^{2} - 4}{x^{2} + 2 x}$
110294	Evaluate the Function	f(-x)=3x^2+2x-4	$f (- x) = 3 x^{2} + 2 x - 4$
110295	Simplify	((x+1)/(x^2+x-6))/((x^2+5x+4)/(x+3))	$\frac{\frac{x + 1}{x^{2} + x - 6}}{\frac{x^{2} + 5 x + 4}{x + 3}}$
110296	Evaluate the Function	f(x)=3x-2 ; f(-1)	$f (x) = 3 x - 2$ ; $f (- 1)$
110297	Simplify	(y^(3/2)y^(-1/4))/(y^(1/3))	$\frac{y^{\frac{3}{2}} y^{- \frac{1}{4}}}{y^{\frac{1}{3}}}$
110298	Simplify	(x^3+10x^2)/(x^2+2x-80)	$\frac{x^{3} + 10 x^{2}}{x^{2} + 2 x - 80}$
110299	Simplify	(x^3+9x^2)/(x^2+5x-36)	$\frac{x^{3} + 9 x^{2}}{x^{2} + 5 x - 36}$
110300	Simplify	(x^3+7x^2)/(x^2+2x-35)	$\frac{x^{3} + 7 x^{2}}{x^{2} + 2 x - 35}$