Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217701	Simplify	(2x+3y)^2+2(2x+3y)(x+y)+(x+y)^2	${(2 x + 3 y)}^{2} + 2 (2 x + 3 y) (x + y) + {(x + y)}^{2}$
217702	Factor	x^4-16x^2+x^3-16x-2x^2+32	$x^{4} - 16 x^{2} + x^{3} - 16 x - 2 x^{2} + 32$
217703	Multiply	(3y^3+5-6y)(y^2+2)	$(3 y^{3} + 5 - 6 y) (y^{2} + 2)$
217704	Simplify	(x^2+(1/x)^2)^3	${(x^{2} + {(\frac{1}{x})}^{2})}^{3}$
217705	Simplify	log base 2 of 100- log base 2 of 10	$\log_{2} (100) - \log_{2} (10)$
217706	Find the Distance Between Two Points	(-1,6) and (-1,14)	$(- 1, 6)$ and $(- 1, 14)$
217707	Graph	f(x)=x g(x)=x+4	$f (x) = x$ $g (x) = x + 4$
217708	Find the Domain and Range	y=2pisin(1.2x)	$y = 2 π \sin (1.2 x)$
217709	Solve for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
217710	Solve the Rational Equation for x	square root of 7x-1=-2	$\sqrt{7 x - 1} = - 2$
217711	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-8) and has a slope of -1 ?	What is the equation of the line that passes through the point $(8, - 8)$ and has a slope of $- 1$ ?
217712	Write the Absolute Value as Piecewise	f(x)=\|2-2x\|	$f (x) = \| 2 - 2 x \|$
217713	Graph	x+5y=5 y=-4/5x-2	$x + 5 y = 5$ $y = - \frac{4}{5} x - 2$
217714	Simplify	(( square root of 3)/2+2/5i)^2	${(\frac{\sqrt{3}}{2} + \frac{2}{5} i)}^{2}$
217715	Combine Like Terms	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
217716	Solve the Inequality for x	\|x-5\|>=0	$\| x - 5 \| \geq 0$
217717	Find the Excluded Values	(9x^2)/(x-6)(x^2-36)/(3x-6)3/(4x^2+24x)	$\frac{9 x^{2}}{x - 6} \cdot \frac{x^{2} - 36}{3 x - 6} \cdot \frac{3}{4 x^{2} + 24 x}$
217718	Find the GCF	36ab^2-48a^2b	$36 a b^{2} - 48 a^{2} b$
217719	Evaluate	4(-9 1/8)	$4 (- 9 \frac{1}{8})$
217720	Evaluate	(4((2-5)^3-4(1/2)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
217721	Simplify the Radical Expression	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
217722	Solve the Inequality for z	8+5z<=3z-7<=z+1	$8 + 5 z \leq 3 z - 7 \leq z + 1$
217723	Identify the Zeros and Their Multiplicities	q(t)=-4t(2-t)(t+1)^3	$q (t) = - 4 t (2 - t) {(t + 1)}^{3}$
217724	Evaluate	14/9+7/12*4/21	$\frac{14}{9} + \frac{7}{12} \cdot \frac{4}{21}$
217725	Solve by Addition/Elimination	2x-3y=-1 y=x-1	$2 x - 3 y = - 1$ $y = x - 1$
217726	Write in Standard Form	f(x)=x^2-9x^5+6	$f (x) = x^{2} - 9 x^{5} + 6$
217727	Graph	1÷x	$1 \div x$
217728	Simplify	5 square root of b+ square root of 4b	$5 \sqrt{b} + \sqrt{4 b}$
217729	Evaluate	7(4p+2q+3r)	$7 (4 p + 2 q + 3 r)$
217730	Find the Exact Value	7+(3^2(-5+1))÷2	$7 + 3^{2} (- 5 + 1) \div 2$
217731	Solve the System of Inequalities	-7x-50<=-1 ; AND , -6x+70>-2	$- 7 x - 50 \leq - 1$ ; AND , $- 6 x + 70 > - 2$
217732	Simplify	(7/8-3/8)^2	${(\frac{7}{8} - \frac{3}{8})}^{2}$
217733	Solve the Inequality for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
217734	Graph Using a Table of Values	f(x)=-2(5)^(x+5)	$f (x) = - 2 {(5)}^{x + 5}$
217735	Solve the Inequality for p	-5.2>=p/4	$- 5.2 \geq \frac{p}{4}$
217736	Simplify	4x(x+2(x+5))	$4 x (x + 2 (x + 5))$
217737	Multiply	(x^2+2x+1)/(x^2-1)*(x^2+3x+2)/(x^2+4x+4)	$\frac{x^{2} + 2 x + 1}{x^{2} - 1} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 4 x + 4}$
217738	Simplify	3(2+x)+6x-4	$3 (2 + x) + 6 x - 4$
217739	Find the Domain and Range	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
217740	Evaluate Using the Given Value	p^3+10+m ; use m=9 ; and p=3	$p^{3} + 10 + m$ ; use $m = 9$ ; and $p = 3$
217741	Solve for x	y=(mx^2)/2	$y = \frac{m x^{2}}{2}$
217742	Find All Complex Solutions	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
217743	Solve for u	14+8(u+12)=2(6u+19)	$14 + 8 (u + 12) = 2 (6 u + 19)$
217744	Convert to Rectangular	(2(cos(pi/4)+isin(pi/4)))^4	${(2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4})))}^{4}$
217745	Solve for x	square root of 5-x-1=x	$\sqrt{5 - x - 1} = x$
217746	Simplify	324^(1/4)* fourth root of 1/4	$324^{\frac{1}{4}} \cdot \sqrt[4]{\frac{1}{4}}$
217747	Simplify	((3x-x^2)/(x^2-16)*(x+4)/(x^2+x-12))÷((x-10)/(4x^3-64x))	$\frac{3 x - x^{2}}{x^{2} - 16} \cdot \frac{x + 4}{x^{2} + x - 12} \div \frac{x - 10}{4 x^{3} - 64 x}$
217748	Solve for n	log base 15 of 15 square root of 15=n	$\log_{15} (15 \sqrt{15}) = n$
217749	Solve for x	4x+3(7+2(x-3))=83	$4 x + 3 (7 + 2 (x - 3)) = 83$
217750	Multiply	(15x)/(7y^3)*(2y^2)/(x^2)	$\frac{15 x}{7 y^{3}} \cdot \frac{2 y^{2}}{x^{2}}$
217751	Find All Complex Solutions	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
217752	Combine Like Terms	-2d+e-f+4d+2f-3e	$- 2 d + e - f + 4 d + 2 f - 3 e$
217753	Simplify	5/(4x)-3/5	$\frac{5}{4 x} - \frac{3}{5}$
217754	Solve for x	4^(3x-1)*(1/8)^x=32^(-x)	$4^{3 x - 1} \cdot {(\frac{1}{8})}^{x} = 32^{- x}$
217755	Find the Exact Value	sin(60 degrees )+sin(pi/2)	$\sin (60 °) + \sin (\frac{π}{2})$
217756	Simplify the Radical Expression	12 root of 1/(n^-8*n^-7)	$\sqrt[12]{\frac{1}{n^{- 8} \cdot n^{- 7}}}$
217757	Write in Standard Form	(6x^2+6x+9)+(x^2+2x)	$(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)$
217758	Simplify	-(-6x+3y-(8x-(2y-4x-(2x-6y)+10x)-9y)+12x)	$- (- 6 x + 3 y - (8 x - (2 y - 4 x - (2 x - 6 y) + 10 x) - 9 y) + 12 x)$
217759	Solve for x	(4x)/(x^2-9x-10)-7/(x-10)=1/(x+1)	$\frac{4 x}{x^{2} - 9 x - 10} - \frac{7}{x - 10} = \frac{1}{x + 1}$
217760	Multiply	(3a^2-13a+4)/(9a^2-6a+1)*(28+7a)/(a^2-16)	$\frac{3 a^{2} - 13 a + 4}{9 a^{2} - 6 a + 1} \cdot \frac{28 + 7 a}{a^{2} - 16}$
217761	Write in Standard Form	7-2x+3+5x+4x^2	$7 - 2 x + 3 + 5 x + 4 x^{2}$
217762	Solve for s	A=16s^2+25	$A = 16 s^{2} + 25$
217763	Simplify	( square root of 3)/21/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
217764	Solve for x	1-(2x+1)/(x+4)=3/(x^2-3x-28)	$1 - \frac{2 x + 1}{x + 4} = \frac{3}{x^{2} - 3 x - 28}$
217765	Solve by Substitution	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
217766	Simplify	((x^(3s-1)y^(s+2))/(x^(1-s)y^s))^(-r)	${(\frac{x^{3 s - 1} y^{s + 2}}{x^{1 - s} y^{s}})}^{- r}$
217767	Find the Slope and y-intercept	x/2-y/4=1	$\frac{x}{2} - \frac{y}{4} = 1$
217768	Graph	y-0=-1/2(x-3)	$y - 0 = - \frac{1}{2} (x - 3)$
217769	Graph	y>=x+3/2	$y \geq x + \frac{3}{2}$
217770	Find the Inverse	v=1.34 square root of l	$v = 1.34 \sqrt{l}$
217771	Solve the System of Equations	What is the solution to the system of equations y=x^2+3 and y=-2x^2+3 ?	What is the solution to the system of equations $y = x^{2} + 3$ and $y = - 2 x^{2} + 3$ ?
217772	Solve the Inequality for x	-2x^2+8x+17<-7	$- 2 x^{2} + 8 x + 17 < - 7$
217773	Solve the Inequality for x	1/4x<=1	$\frac{1}{4} x \leq 1$
217774	Graph	x<=-2 y<=x-3	$x \leq - 2$ $y \leq x - 3$
217775	Solve for x	g(-x)=x^3	$g (- x) = x^{3}$
217776	Simplify	xy(x^2+y^2)	$x y (x^{2} + y^{2})$
217777	Solve the System of Equations	0.5x+0.25y+0.1z=4.7 , y=2z-10 , x-y=2	$0.5 x + 0.25 y + 0.1 z = 4.7$ , $y = 2 z - 10$ , $x - y = 2$
217778	Solve the System of Equations	y+x^2=4x y+4x=16	$y + x^{2} = 4 x$ $y + 4 x = 16$
217779	Evaluate	90% of 50	$90 %$ of $50$
217780	Solve the Inequality for x	log base 2 of x< log base 2 of x+4	$\log_{2} (x) < \log_{2} (x + 4)$
217781	Simplify	1/(10x^2)*(x^2)/3	$\frac{1}{10 x^{2}} \cdot \frac{x^{2}}{3}$
217782	Simplify	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
217783	Solve for x	(2x-3)/(x-1)=2/(x(x-1))	$\frac{2 x - 3}{x - 1} = \frac{2}{x (x - 1)}$
217784	Solve for p	6p+2(p-1)=22	$6 p + 2 (p - 1) = 22$
217785	Find All Complex Solutions	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
217786	Simplify	13c^2d+cd^2-7c^2d-11cd^2	$13 c^{2} d + c d^{2} - 7 c^{2} d - 11 c d^{2}$
217787	Multiply	square root of 5( square root of 5+ square root of 2-3)	$\sqrt{5} (\sqrt{5} + \sqrt{2} - 3)$
217788	Simplify	(x^2+2x-24)/(x^2-9)*(x+3)/(x^2-16)	$\frac{x^{2} + 2 x - 24}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 16}$
217789	Determine if True	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
217790	Solve for S	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
217791	Solve for k	D=1/3fk for k	$D = \frac{1}{3} f k$ for $k$
217792	Multiply	3 square root of ab*2 fourth root of ab	$3 \sqrt{a b} \cdot 2 \sqrt[4]{a b}$
217793	Simplify	10x^8y^-3*x^-7y^-2	$10 x^{8} y^{- 3} \cdot x^{- 7} y^{- 2}$
217794	Simplify	( cube root of 32)÷( cube root of 18)	$\sqrt[3]{32} \div \sqrt[3]{18}$
217795	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+7x^2-9x-1 is divided by x-1	Use synthetic division to find the result when $3 x^{3} + 7 x^{2} - 9 x - 1$ is divided by $x - 1$
217796	Factor	35+30s-45t	$35 + 30 s - 45 t$
217797	Solve for a	a+0=a	$a + 0 = a$
217798	Simplify the Radical Expression	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
217799	Solve for x	(12x+28)/12=(4+2x)/25	$\frac{12 x + 28}{12} = \frac{4 + 2 x}{25}$
217800	Solve for x	1/7+(2x)/3=(15x-3)/21	$\frac{1}{7} + \frac{2 x}{3} = \frac{15 x - 3}{21}$