Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9601	Find the x and y Intercepts	f(x)=3x^3-12x^2-15x	$f (x) = 3 x^{3} - 12 x^{2} - 15 x$
9602	Factor	6x^3+48	$6 x^{3} + 48$
9603	Factor	6x^2+4x	$6 x^{2} + 4 x$
9604	Find the Roots (Zeros)	f(x)=(2x+6)(x-4)	$f (x) = (2 x + 6) (x - 4)$
9605	Factor	64-25x^2	$64 - 25 x^{2}$
9606	Expand the Logarithmic Expression	log base 8 of 3xy	$\log_{8} (3 x y)$
9607	Factor	64x^3-8	$64 x^{3} - 8$
9608	Find the Domain	f(x)=2(x)^2+5 square root of x+2	$f (x) = 2 {(x)}^{2} + 5 \sqrt{x + 2}$
9609	Factor	6c^2-28c+16	$6 c^{2} - 28 c + 16$
9610	Write in Standard Form	-3a(a^2-10a+25)	$- 3 a (a^{2} - 10 a + 25)$
9611	Factor	5x+20	$5 x + 20$
9612	Factor	50x^2-2	$50 x^{2} - 2$
9613	Convert to a Simplified Fraction	0.95	$0.95$
9614	Factor	5x^2-20y^2	$5 x^{2} - 20 y^{2}$
9615	Factor	5x^2-20x+20	$5 x^{2} - 20 x + 20$
9616	Factor	5x^2-4x-1	$5 x^{2} - 4 x - 1$
9617	Factor	5x^2+25x+30	$5 x^{2} + 25 x + 30$
9618	Write with Rational (Fractional) Exponents	ninth root of b^4	$\sqrt[9]{b^{4}}$
9619	Factor	4x^4-9y^2	$4 x^{4} - 9 y^{2}$
9620	Factor	4+7xy-14y-2x	$4 + 7 x y - 14 y - 2 x$
9621	Multiply	(12x^10y^4)/(8x^3y^10)*(6x^4y^2)/x	$\frac{12 x^{10} y^{4}}{8 x^{3} y^{10}} \cdot \frac{6 x^{4} y^{2}}{x}$
9622	Factor	49x^2-4y^2	$49 x^{2} - 4 y^{2}$
9623	Convert to Logarithmic Form	8^x=24	$8^{x} = 24$
9624	Factor	9x^2+30x+16	$9 x^{2} + 30 x + 16$
9625	Factor	8x^2-73x+9	$8 x^{2} - 73 x + 9$
9626	Factor	8a^2-30a+18	$8 a^{2} - 30 a + 18$
9627	Convert to Scientific Notation	53 , 10 , 0	$53$ , $10$ , $0$
9628	Factor	8y^3-125	$8 y^{3} - 125$
9629	Find the Asymptotes	y=2/(x^2-9)	$y = \frac{2}{x^{2} - 9}$
9630	Factor	7x^2+10x+3	$7 x^{2} + 10 x + 3$
9631	Combine	11/12-1/6q+5/6q-1/3	$\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}$
9632	Factor	6x+9	$6 x + 9$
9633	Convert to a Decimal	4.2%	$4.2 %$
9634	Factor	p^2-8p+16	$p^{2} - 8 p + 16$
9635	Rationalize the Denominator	14/(3+ square root of 2)	$\frac{14}{3 + \sqrt{2}}$
9636	Factor	r^2+r-20	$r^{2} + r - 20$
9637	Find the Roots (Zeros)	x^3+5x^2-8x-20=0	$x^{3} + 5 x^{2} - 8 x - 20 = 0$
9638	Find the Maximum/Minimum Value	y=x^2+8x-4	$y = x^{2} + 8 x - 4$
9639	Subtract	(x+2)/(2x+10)-(-2x+8)/(x^2+x-20)	$\frac{x + 2}{2 x + 10} - \frac{- 2 x + 8}{x^{2} + x - 20}$
9640	Factor	n^2+6n+9	$n^{2} + 6 n + 9$
9641	Subtract	625-49	$625 - 49$
9642	Factor	m^2-25	$m^{2} - 25$
9643	Factor	b^2+4b+4	$b^{2} + 4 b + 4$
9644	Evaluate Using Scientific Notation	(7.8010^7)/(1.010^4)	$\frac{7.8 \cdot 10^{7}}{1 \cdot 10^{4}}$
9645	Factor	b^2-9	$b^{2} - 9$
9646	Add	(-8y^2-9y)+(8y^3+9y^2-2y)	$(- 8 y^{2} - 9 y) + (8 y^{3} + 9 y^{2} - 2 y)$
9647	Factor	b^2-4ac	$b^{2} - 4 a c$
9648	Find the Asymptotes	h(x)=5/(x^2-49)+5	$h (x) = \frac{5}{x^{2} - 49} + 5$
9649	Factor	a^4-625	$a^{4} - 625$
9650	Find the Asymptotes	y=(x-5)/(x^2-4x-12)	$y = \frac{x - 5}{x^{2} - 4 x - 12}$
9651	Factor	c^2-4c+4	$c^{2} - 4 c + 4$
9652	Find the Range	y = log base 8 of x	$y = \log_{8} (x)$
9653	Factor	w^2-6w+9	$w^{2} - 6 w + 9$
9654	Convert to an Improper Fraction	4 1/3	$4 \frac{1}{3}$
9655	Factor	w^2-18w+81	$w^{2} - 18 w + 81$
9656	Factor	s^2-49	$s^{2} - 49$
9657	Convert to Scientific Notation	4.9*10^-5+0.0005	$4.9 \cdot 10^{- 5} + 0.0005$
9658	Factor	r^2-81	$r^{2} - 81$
9659	Factor	r^2-4r+4	$r^{2} - 4 r + 4$
9660	Convert to a Decimal	4 1/2	$4 \frac{1}{2}$
9661	Factor	a^2-14a+49	$a^{2} - 14 a + 49$
9662	Find the Directrix	x=-4(y-1)^2	$x = - 4 {(y - 1)}^{2}$
9663	Factor	a^2+2a-35	$a^{2} + 2 a - 35$
9664	Combine	20(-1.5r+0.75)	$20 (- 1.5 r + 0.75)$
9665	Factor	x^2-169y^2	$x^{2} - 169 y^{2}$
9666	Evaluate Using Scientific Notation	(2.8510^6)/(3.010^4)	$\frac{2.85 \cdot 10^{6}}{3 \cdot 10^{4}}$
9667	Find the x and y Intercepts	y=2x^2-x-10	$y = 2 x^{2} - x - 10$
9668	Find the x and y Intercepts	-10x-6y=120	$- 10 x - 6 y = 120$
9669	Factor	x^2-4xy-5y^2	$x^{2} - 4 x y - 5 y^{2}$
9670	Factor	x^2+26x+169	$x^{2} + 26 x + 169$
9671	Factor	x^2+18x+32	$x^{2} + 18 x + 32$
9672	Find Where Undefined/Discontinuous	((6-x)/(x^2+2x-3))÷((x^2-4x-12)/(x^2+4x+3))	$\frac{6 - x}{x^{2} + 2 x - 3} \div \frac{x^{2} - 4 x - 12}{x^{2} + 4 x + 3}$
9673	Factor	x^2+18xy+81y^2	$x^{2} + 18 x y + 81 y^{2}$
9674	Solve Using the Quadratic Formula	5x^2-13x+7=0	$5 x^{2} - 13 x + 7 = 0$
9675	Factor	x^2+13x+169/4	$x^{2} + 13 x + \frac{169}{4}$
9676	Find the LCD	3/(7b) , 5/(3c) , 11/(21bc)	$\frac{3}{7 b}$ , $\frac{5}{3 c}$ , $\frac{11}{21 b c}$
9677	Factor	x^2+3xy-4y^2	$x^{2} + 3 x y - 4 y^{2}$
9678	Solve by Completing the Square	x^2+10x-13=17	$x^{2} + 10 x - 13 = 17$
9679	Factor	x^2+6x-2	$x^{2} + 6 x - 2$
9680	Factor	x^4-x^3-6x^2	$x^{4} - x^{3} - 6 x^{2}$
9681	Multiply	(2x^2-3x)(3x^2+2x-1)	$(2 x^{2} - 3 x) (3 x^{2} + 2 x - 1)$
9682	Find a,b,c	(2x+7)(x-1)=0	$(2 x + 7) (x - 1) = 0$
9683	Factor	x^5y^5-x^4y^3+x^3y^2+x^2y^2	$x^{5} y^{5} - x^{4} y^{3} + x^{3} y^{2} + x^{2} y^{2}$
9684	Factor	x^3-2x^2-3x	$x^{3} - 2 x^{2} - 3 x$
9685	Write as a Single Logarithm	1/2 log of x+1/3 log of y-2 log of z	$\frac{1}{2} \log (x) + \frac{1}{3} \log (y) - 2 \log (z)$
9686	Factor	x^3-2x^2-8x	$x^{3} - 2 x^{2} - 8 x$
9687	Convert to Logarithmic Form	9^0=1	$9^{0} = 1$
9688	Factor	x^3+3x^2-10x-24	$x^{3} + 3 x^{2} - 10 x - 24$
9689	Convert to Logarithmic Form	e^a=47.38	$e^{a} = 47.38$
9690	Subtract	(x+1)/(x-4)-(x+3)/(x+2)	$\frac{x + 1}{x - 4} - \frac{x + 3}{x + 2}$
9691	Factor	x^3+4x^2-25x-100	$x^{3} + 4 x^{2} - 25 x - 100$
9692	Subtract	180-125	$180 - 125$
9693	Factor	x^2-8x+20	$x^{2} - 8 x + 20$
9694	Factor	x^3+x^2+4x+4	$x^{3} + x^{2} + 4 x + 4$
9695	Find the Directrix	y=x^2-10x+33	$y = x^{2} - 10 x + 33$
9696	Factor	10x^2-23x+12	$10 x^{2} - 23 x + 12$
9697	Find the Center and Radius	x^2+y^2-4x-8y-16=0	$x^{2} + y^{2} - 4 x - 8 y - 16 = 0$
9698	Factor	10p^3-1960p	$10 p^{3} - 1960 p$
9699	Find the Roots (Zeros)	3x^2-2+7x=0	$3 x^{2} - 2 + 7 x = 0$
9700	Factor	y^3+y^2-4y-4	$y^{3} + y^{2} - 4 y - 4$