Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15601	Simplify	(6-3(2+h))/( square root of 8+4h+1-3)	$\frac{6 - 3 (2 + h)}{\sqrt{8 + 4 h + 1} - 3}$
15602	Simplify	-(-6pi)/(4800-3pi^2)	$- \frac{- 6 π}{4800 - 3 π^{2}}$
15603	Simplify	(6x)/(14x-9)	$\frac{6 x}{14 x - 9}$
15604	Simplify	(5x^3+8x^2)/(3x^4-16x^2)	$\frac{5 x^{3} + 8 x^{2}}{3 x^{4} - 16 x^{2}}$
15605	Simplify	(54-2x)/2	$\frac{54 - 2 x}{2}$
15606	Simplify	(490+ square root of 240100+403200)/84	$\frac{490 + \sqrt{240100 + 403200}}{84}$
15607	Simplify	(5 square root of x-2 cube root of x)/(4x)	$\frac{5 \sqrt{x} - 2 \sqrt[3]{x}}{4 x}$
15608	Simplify	(48-x^2)/4	$\frac{48 - x^{2}}{4}$
15609	Simplify	(5x^2)/(x-3)	$\frac{5 x^{2}}{x - 3}$
15610	Simplify	(3x^2)/( square root of x)	$\frac{3 x^{2}}{\sqrt{x}}$
15611	Simplify	(3x)/( square root of x^2+1)	$\frac{3 x}{\sqrt{x^{2} + 1}}$
15612	Simplify	2/(2 square root of 2x)	$\frac{2}{2 \sqrt{2 x}}$
15613	Simplify	(25x-225)/49	$\frac{25 x - 225}{49}$
15614	Simplify	(-2hx-h^2)/h	$\frac{- 2 h x - h^{2}}{h}$
15615	Simplify	(20-7 square root of 7)/(11-4 square root of 7)	$\frac{20 - 7 \sqrt{7}}{11 - 4 \sqrt{7}}$
15616	Simplify	(2(1+x)^(1/2)-x(1+x)^(-1/2))/(x+1)	$\frac{2 {(1 + x)}^{\frac{1}{2}} - x {(1 + x)}^{- \frac{1}{2}}}{x + 1}$
15617	Simplify	2/( square root of 1-(2x-1)^2)	$\frac{2}{\sqrt{1 - {(2 x - 1)}^{2}}}$
15618	Simplify	2/( fifth root of x^3)	$\frac{2}{\sqrt[5]{x^{3}}}$
15619	Simplify	((2k+8)/6)÷((3k+12)/2)	$\frac{2 k + 8}{6} \div \frac{3 k + 12}{2}$
15620	Simplify	(12a^2)/(a+1)	$\frac{12 a^{2}}{a + 1}$
15621	Simplify	(10-3*3)/(2 square root of 5-3)	$\frac{10 - 3 \cdot 3}{2 \sqrt{5 - 3}}$
15622	Simplify	(1-x)/( square root of x-1)	$\frac{1 - x}{\sqrt{x} - 1}$
15623	Simplify	(2(11-2t))/(3(11-t^2)^(1/3))	$\frac{2 (11 - 2 t)}{3 {(11 - t^{2})}^{\frac{1}{3}}}$
15624	Simplify	(x^2)/(x^(1/2))	$\frac{x^{2}}{x^{\frac{1}{2}}}$
15625	Simplify	( sixth root of x^8)/( sixth root of x^2)	$\frac{\sqrt[6]{x^{8}}}{\sqrt[6]{x^{2}}}$
15626	Simplify	( cube root of 2)^2	${(\sqrt[3]{2})}^{2}$
15627	Simplify	(x^2-14x+49)/(x-7)	$\frac{x^{2} - 14 x + 49}{x - 7}$
15628	Simplify	(x^2+3x-10)/(x^2-4)	$\frac{x^{2} + 3 x - 10}{x^{2} - 4}$
15629	Simplify	( square root of x+2- square root of 2)/x	$\frac{\sqrt{x + 2} - \sqrt{2}}{x}$
15630	Simplify	( square root of x+1- square root of 2*x)/(x^2-1)	$\frac{\sqrt{x + 1} - \sqrt{2 \cdot x}}{x^{2} - 1}$
15631	Simplify	(4- square root of x)/(16x-x^2)	$\frac{4 - \sqrt{x}}{16 x - x^{2}}$
15632	Simplify	( square root of a+b+ square root of a-b)/( square root of a+b- square root of a-b)	$\frac{\sqrt{a + b} + \sqrt{a - b}}{\sqrt{a + b} - \sqrt{a - b}}$
15633	Simplify	( square root of x+3-2)/(x-1)	$\frac{\sqrt{x + 3} - 2}{x - 1}$
15634	Simplify	( square root of 4u+1-3)/(u-2)	$\frac{\sqrt{4 u + 1} - 3}{u - 2}$
15635	Simplify	( square root of 9+h-3)/h	$\frac{\sqrt{9 + h - 3}}{h}$
15636	Simplify	( square root of 6)/( cube root of 5)	$\frac{\sqrt{6}}{\sqrt[3]{5}}$
15637	Simplify	( square root of t)/t	$\frac{\sqrt{t}}{t}$
15638	Simplify	1/( square root of e)	$\frac{1}{\sqrt{e}}$
15639	Simplify	1/( square root of t)	$\frac{1}{\sqrt{t}}$
15640	Simplify	(1-n^-2)/(1-n)	$\frac{1 - n^{- 2}}{1 - n}$
15641	Simplify	(1-r^2)/(1-r)	$\frac{1 - r^{2}}{1 - r}$
15642	Simplify	1/( seventh root of x)	$\frac{1}{\sqrt[7]{x}}$
15643	Simplify	1/(x fourth root of x)	$\frac{1}{x \sqrt[4]{x}}$
15644	Simplify	(10e^(2x)-10)/(e^x-1)	$\frac{10 e^{2 x} - 10}{e^{x} - 1}$
15645	Simplify	(x^2-4x)/( square root of x)	$\frac{x^{2} - 4 x}{\sqrt{x}}$
15646	Simplify	(x^2-4x-21)/(x-7)	$\frac{x^{2} - 4 x - 21}{x - 7}$
15647	Simplify	(x^5+9x^4)/(x^2)	$\frac{x^{5} + 9 x^{4}}{x^{2}}$
15648	Simplify	(1-(2x)/(3x-4))/(x+32/(3x-4))	$\frac{1 - \frac{2 x}{3 x - 4}}{x + \frac{32}{3 x - 4}}$
15649	Simplify	(y^(-1/3))/(y^(1/2)y^(4/3))	$\frac{y^{- \frac{1}{3}}}{y^{\frac{1}{2}} y^{\frac{4}{3}}}$
15650	Multiply	(x-3)(x^2+4ix-4ix-16i^2)=0	$(x - 3) (x^{2} + 4 i x - 4 i x - 16 i^{2}) = 0$
15651	Multiply	(x+9)(x^2-12)	$(x + 9) (x^{2} - 12)$
15652	Multiply	(x+1)*(1-x)+2(x-5)-(2x^2-3)	$(x + 1) \cdot (1 - x) + 2 (x - 5) - (2 x^{2} - 3)$
15653	Multiply	(2 square root of 5-3 square root of 2)(2 square root of 5+3 square root of 2)	$(2 \sqrt{5} - 3 \sqrt{2}) (2 \sqrt{5} + 3 \sqrt{2})$
15654	Multiply	(x^4+2x-1)(10x-2)	$(x^{4} + 2 x - 1) (10 x - 2)$
15655	Multiply	(5a^2y)(-6x^2)	$(5 a^{2} y) (- 6 x^{2})$
15656	Multiply	(5-3 square root of 6)(2-4 square root of 10)	$(5 - 3 \sqrt{6}) (2 - 4 \sqrt{10})$
15657	Multiply	(8x-5)(x+4)	$(8 x - 5) (x + 4)$
15658	Multiply	(x)(19-2x)(19-2x)	$(x) (19 - 2 x) (19 - 2 x)$
15659	Multiply	(x^2+1)(x-1)	$(x^{2} + 1) (x - 1)$
15660	Solve for x	natural log of x-2<0	$\ln (x - 2) < 0$
15661	Solve for x	-8x^2-8x+2<9x-6	$- 8 x^{2} - 8 x + 2 < 9 x - 6$
15662	Solve for x	x^3+6x^2+5x=0	$x^{3} + 6 x^{2} + 5 x = 0$
15663	Solve for x	0.01x^2+x-600>0	$0.01 x^{2} + x - 600 > 0$
15664	Solve for x	3x-5/2>1/2x	$3 x - \frac{5}{2} > \frac{1}{2} x$
15665	Solve for x	3x-5<4x-6	$3 x - 5 < 4 x - 6$
15666	Find the Local Maxima and Minima	f(x)=x^3-12x+6	$f (x) = x^{3} - 12 x + 6$
15667	Graph the Line Segment	(-2,1) , (3,4)	$(- 2, 1)$ , $(3, 4)$
15668	Multiply	(2x+y)^7	${(2 x + y)}^{7}$
15669	Multiply	(a+h)^2	${(a + h)}^{2}$
15670	Multiply	(x+9)^3	${(x + 9)}^{3}$
15671	Multiply	(x+y)^4	${(x + y)}^{4}$
15672	Multiply	(a+h)^4	${(a + h)}^{4}$
15673	Multiply	(1+h)^3	${(1 + h)}^{3}$
15674	Multiply	(2x+1)^3	${(2 x + 1)}^{3}$
15675	Multiply	(z-3)^3	${(z - 3)}^{3}$
15676	Multiply	x^4*x^2	$x^{4} \cdot x^{2}$
15677	Multiply	3x*x	$3 x \cdot x$
15678	Multiply	1/3*(x^3+2)^6	$\frac{1}{3} \cdot {(x^{3} + 2)}^{6}$
15679	Multiply	2x*(2x)	$2 x \cdot (2 x)$
15680	Simplify	( square root of x-2)(4x^2)	$(\sqrt{x - 2}) (4 x^{2})$
15681	Simplify	( cube root of b)^3	${(\sqrt[3]{b})}^{3}$
15682	Simplify	((1-x^2)^(-1/2)sin((1-x^2)^(1/2)))/( square root of 1-cos((1-x^2)^(1/2))^2)	$\frac{{(1 - x^{2})}^{- \frac{1}{2}} \sin ({(1 - x^{2})}^{\frac{1}{2}})}{\sqrt{1 - \cos^{2} ({(1 - x^{2})}^{\frac{1}{2}})}}$
15683	Simplify	((1+49e^(-0.11x))*0-100(49e^(-0.11x))(-0.11x))/((1+49e^(-0.11x))^2)	$\frac{(1 + 49 e^{- 0.11 x}) \cdot 0 - 100 (49 e^{- 0.11 x}) (- 0.11 x)}{{(1 + 49 e^{- 0.11 x})}^{2}}$
15684	Simplify	((-3(x+h)^2-2(x+h)-2)-(-3x^2-2x-2))/h	$\frac{(- 3 {(x + h)}^{2} - 2 (x + h) - 2) - (- 3 x^{2} - 2 x - 2)}{h}$
15685	Simplify	(3x-6)/(10-5x)	$\frac{3 x - 6}{10 - 5 x}$
15686	Simplify	((-h^2+4h+1)-(1))/h	$\frac{(- h^{2} + 4 h + 1) - (1)}{h}$
15687	Simplify	(-h^2-10h-18)/h	$\frac{- h^{2} - 10 h - 18}{h}$
15688	Simplify	( square root of x+4)^2	${(\sqrt{x + 4})}^{2}$
15689	Simplify	(-x^2-2x+3)/(x^4-3x^3-9x^2)	$\frac{- x^{2} - 2 x + 3}{x^{4} - 3 x^{3} - 9 x^{2}}$
15690	Simplify	(2.378/(cos(5))-v(((2.378^2)/(cos(5)^2))+44.9(23.78*tan(5)+0.7)))/-9.8	$\frac{\frac{2.378}{\cos (5)} - v ((\frac{{2.378}^{2}}{\cos^{2} (5)}) + 4 \cdot 4.9 \cdot (23.78 \cdot \tan (5) + 0.7))}{- 9.8}$
15691	Simplify	(x^3-x)/(x-1)	$\frac{x^{3} - x}{x - 1}$
15692	Simplify	( square root of x-1)( square root of x+1)	$(\sqrt{x} - 1) (\sqrt{x} + 1)$
15693	Simplify	(x^2-3)( square root of x-3)(4)	$(x^{2} - 3) (\sqrt{x - 3}) (4)$
15694	Simplify	(5i square root of -6)(7 square root of -10)	$(5 i \sqrt{- 6}) (7 \sqrt{- 10})$
15695	Simplify	(u-1) square root of u	$(u - 1) \sqrt{u}$
15696	Simplify	((1/(x+h))-1/x)/h	$\frac{(\frac{1}{x + h}) - \frac{1}{x}}{h}$
15697	Simplify	(1/x-1/(x+1))/(1/x+1/(x+1))	$\frac{\frac{1}{x} - \frac{1}{x + 1}}{\frac{1}{x} + \frac{1}{x + 1}}$
15698	Simplify	( square root of 2)^7	${(\sqrt{2})}^{7}$
15699	Simplify	(-e^4)/( square root of 37)	$\frac{- e^{4}}{\sqrt{37}}$
15700	Simplify	(t^8)/(t^2-3)	$\frac{t^{8}}{t^{2} - 3}$