Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
144401	Expand Using the Binomial Theorem	(2x-1)^7	${(2 x - 1)}^{7}$
144402	Factor by Grouping	5x^3+2x^2+25x+10	$5 x^{3} + 2 x^{2} + 25 x + 10$
144403	Factor by Grouping	x^2+2x-5x-10	$x^{2} + 2 x - 5 x - 10$
144404	Factor by Grouping	ac+5a-3c-15	$a c + 5 a - 3 c - 15$
144405	Factor by Grouping	9x^2-6x+1	$9 x^{2} - 6 x + 1$
144406	Factor by Grouping	10x^2-14xy-15x+21y	$10 x^{2} - 14 x y - 15 x + 21 y$
144407	Factor by Grouping	2x^3-3x^2-10x+15	$2 x^{3} - 3 x^{2} - 10 x + 15$
144408	Find the Difference Quotient	f(x)=x^2-2x+8	$f (x) = x^{2} - 2 x + 8$
144409	Find the Domain	y = square root of 6x-5	$y = \sqrt{6 x - 5}$
144410	Determine if Odd, Even, or Neither	f(x)=x^3+x^2-4	$f (x) = x^{3} + x^{2} - 4$
144411	Determine if Odd, Even, or Neither	f(x)=7	$f (x) = 7$
144412	Find Amplitude, Period, and Phase Shift	y=1/2sin(x/3-pi)	$y = \frac{1}{2} \sin (\frac{x}{3} - π)$
144413	Solve for f	square root of f=7	$\sqrt{f} = 7$
144414	Solve for f	3f-2g=5+h	$3 f - 2 g = 5 + h$
144415	Solve for g	v = square root of (gm)/r	$v = \sqrt{\frac{g m}{r}}$
144416	Expand Using the Binomial Theorem	(3x-y)^7	${(3 x - y)}^{7}$
144417	Expand Using the Binomial Theorem	(w+x)^7	${(w + x)}^{7}$
144418	Factor by Grouping	2x^3-4x^2-3x-6	$2 x^{3} - 4 x^{2} - 3 x - 6$
144419	Factor by Grouping	10x^2y+2xy^2-4x^2-4x^2y	$10 x^{2} y + 2 x y^{2} - 4 x^{2} - 4 x^{2} y$
144420	Factor by Grouping	1/8x^3-1/27y^3	$\frac{1}{8} x^{3} - \frac{1}{27} y^{3}$
144421	Factor by Grouping	12x^2-18x-10x+15	$12 x^{2} - 18 x - 10 x + 15$
144422	Factor by Grouping	3y-15+xy-5x	$3 y - 15 + x y - 5 x$
144423	Factor by Grouping	ac+2ad+2bc+4bd	$a c + 2 a d + 2 b c + 4 b d$
144424	Factor by Grouping	4x+12+xy+3y	$4 x + 12 + x y + 3 y$
144425	Factor by Grouping	4x^2-4x-3	$4 x^{2} - 4 x - 3$
144426	Divide Using Synthetic Division	((x^3-3x^2+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{3} - 3 x^{2} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
144427	Find the Difference Quotient	f(x)=3x+4	$f (x) = 3 x + 4$
144428	Find the Slope of a Perpendicular Line	x-y=16	$x - y = 16$
144429	Find the Slope of a Perpendicular Line	y=x+7	$y = x + 7$
144430	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4+6x^3-3x^2+17x-15	$f (x) = x^{4} + 6 x^{3} - 3 x^{2} + 17 x - 15$
144431	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-4x^3+9x^2+5x+14	$f (x) = x^{4} - 4 x^{3} + 9 x^{2} + 5 x + 14$
144432	Convert to an Improper Fraction	8 1/8	$8 \frac{1}{8}$
144433	Find Where Undefined/Discontinuous	(x+7)/(x^2+4x-21)	$\frac{x + 7}{x^{2} + 4 x - 21}$
144434	Solve for g	g^2-10g+3=0	$g^{2} - 10 g + 3 = 0$
144435	Solve for g	2g+14+5g-8g=-3+8	$2 g + 14 + 5 g - 8 g = - 3 + 8$
144436	Solve for q	-8=32-5q	$- 8 = 32 - 5 q$
144437	Solve for Q	6x+Q=Px+15	$6 x + Q = P x + 15$
144438	Solve for q	qx+12=13x+p	$q x + 12 = 13 x + p$
144439	Find Amplitude, Period, and Phase Shift	y=-6sin(3pix+4)-2	$y = - 6 \sin (3 π x + 4) - 2$
144440	Identify the Sequence	4 , 6 , 9 , 13.5 , 20.25	$4$ , $6$ , $9$ , $13.5$ , $20.25$
144441	Identify the Sequence	4 , 13 , 22 , 31	$4$ , $13$ , $22$ , $31$
144442	Identify the Sequence	-2 , 1 , 4 , 7 , 10	$- 2$ , $1$ , $4$ , $7$ , $10$
144443	Expand Using Pascal's Triangle	(x+1)^6	${(x + 1)}^{6}$
144444	Apply the Quadratic Formula	x^2-x+4	$x^{2} - x + 4$
144445	Apply the Quadratic Formula	x^2+6x-9	$x^{2} + 6 x - 9$
144446	Apply the Quadratic Formula	2x^2-4x-1	$2 x^{2} - 4 x - 1$
144447	Expand Using the Binomial Theorem	(p+2q)^4	${(p + 2 q)}^{4}$
144448	Expand Using the Binomial Theorem	(2x-2)^5	${(2 x - 2)}^{5}$
144449	Expand Using the Binomial Theorem	(2x-2y)^4	${(2 x - 2 y)}^{4}$
144450	Expand Using the Binomial Theorem	(1+x)^n	${(1 + x)}^{n}$
144451	Find the Inverse	[[3,2],[4,1]]	$[\begin{array}{c} 3 & 2 \\ 4 & 1 \end{array}]$
144452	Plot	x<7	$x < 7$
144453	Find the Symmetry	f(x)=3x^8+6x^4+1	$f (x) = 3 x^{8} + 6 x^{4} + 1$
144454	Find the Difference Quotient	f(x)=6x-3	$f (x) = 6 x - 3$
144455	Factor by Grouping	ac+4a-3c-12	$a c + 4 a - 3 c - 12$
144456	Factor by Grouping	9y-18+xy-2x	$9 y - 18 + x y - 2 x$
144457	Factor by Grouping	ay-3by+3ax-9bx	$a y - 3 b y + 3 a x - 9 b x$
144458	Factor by Grouping	40ac^2+25ak^2+32bc^2+20bk^2	$40 a c^{2} + 25 a k^{2} + 32 b c^{2} + 20 b k^{2}$
144459	Factor by Grouping	2y^2+3y+4y+6	$2 y^{2} + 3 y + 4 y + 6$
144460	Factor by Grouping	15g^3+18g^2-10g-12	$15 g^{3} + 18 g^{2} - 10 g - 12$
144461	Factor by Grouping	x^3+9x^2+9x+81	$x^{3} + 9 x^{2} + 9 x + 81$
144462	Factor by Grouping	x^3-6x^2+5x-30	$x^{3} - 6 x^{2} + 5 x - 30$
144463	Factor by Grouping	x^2-20x+100-y^2	$x^{2} - 20 x + 100 - y^{2}$
144464	Divide Using Synthetic Division	(5x^3-12x^2-36x-16)/(x+2)	$\frac{(5 x^{3} - 12 x^{2} - 36 x - 16)}{(x + 2)}$
144465	Divide Using Synthetic Division	(5x^3-22x^2+12x-16)/(x-4)	$\frac{5 x^{3} - 22 x^{2} + 12 x - 16}{x - 4}$
144466	Divide Using Synthetic Division	(x^4-4x^3+6x^2-6)÷(x-2)	$(x^{4} - 4 x^{3} + 6 x^{2} - 6) \div (x - 2)$
144467	Find the Slope of a Perpendicular Line	y=5x-3	$y = 5 x - 3$
144468	Find the Slope of a Perpendicular Line	y=7/6x+4	$y = \frac{7}{6} x + 4$
144469	Find Where Undefined/Discontinuous	(3x^2-5x-12)/(x^2-9)	$\frac{3 x^{2} - 5 x - 12}{x^{2} - 9}$
144470	Find Where Undefined/Discontinuous	(x^2-8x+16)/(2x-8)	$\frac{x^{2} - 8 x + 16}{2 x - 8}$
144471	Find the Range	y=-x^2-4x-7	$y = - x^{2} - 4 x - 7$
144472	Find the Domain	y = square root of x^2-3x+2	$y = \sqrt{x^{2} - 3 x + 2}$
144473	Find Where Increasing/Decreasing	f(x)=(x+4)^2	$f (x) = {(x + 4)}^{2}$
144474	Solve for q	q-10=6(r+1)	$q - 10 = 6 (r + 1)$
144475	Solve for q	square root of q-9=7	$\sqrt{q - 9} = 7$
144476	Solve for g	(3g+4)/5=(4g-8)/4	$\frac{3 g + 4}{5} = \frac{4 g - 8}{4}$
144477	Solve for g	e=32gh	$e = 32 g h$
144478	Solve for g	g+2-2(g-16)>0	$g + 2 - 2 (g - 16) > 0$
144479	Solve for g	mg=7	$mg = 7$
144480	Find the Roots/Zeros Using the Rational Roots Test	x^3-2x^2+10x+136=0	$x^{3} - 2 x^{2} + 10 x + 136 = 0$
144481	Write with Rational (Fractional) Exponents	sixth root of 312m	$\sqrt[6]{312 m}$
144482	Identify the Sequence	3 , 6 , 9 , 12 , 15	$3$ , $6$ , $9$ , $12$ , $15$
144483	Identify the Sequence	10 , 20 , 40 , ...	$10$ , $20$ , $40$ , $\dots$
144484	Identify the Sequence	4 , 7 , 12 , 19 , 28	$4$ , $7$ , $12$ , $19$ , $28$
144485	Identify the Sequence	-4 , -8 , -12 , -16	$- 4$ , $- 8$ , $- 12$ , $- 16$
144486	Identify the Sequence	40 , 20 , 10 , 5	$40$ , $20$ , $10$ , $5$
144487	Identify the Sequence	0 , -3 , -6 , -9	$0$ , $- 3$ , $- 6$ , $- 9$
144488	Expand Using Pascal's Triangle	(a+b)^8	${(a + b)}^{8}$
144489	Expand Using the Binomial Theorem	(2x+3)^6	${(2 x + 3)}^{6}$
144490	Expand Using the Binomial Theorem	(3-8w^2)^2	${(3 - 8 w^{2})}^{2}$
144491	Expand Using the Binomial Theorem	(y-x^2)^3	${(y - x^{2})}^{3}$
144492	Determine if True	9=-3(e-2)	$9 = - 3 (e - 2)$
144493	Divide Using Synthetic Division	(4x^3+2x^2+3x+4)/(x+4)	$\frac{4 x^{3} + 2 x^{2} + 3 x + 4}{x + 4}$
144494	Divide Using Synthetic Division	(2x^4-5x^2+4x-1)/(x+3)	$\frac{(2 x^{4} - 5 x^{2} + 4 x - 1)}{(x + 3)}$
144495	Divide Using Synthetic Division	(2x^3+3x-22)/(x-2)	$\frac{(2 x^{3} + 3 x - 22)}{(x - 2)}$
144496	Divide Using Synthetic Division	(x^5-8x^3+24x^2+12x+40)/(x+4)	$\frac{(x^{5} - 8 x^{3} + 24 x^{2} + 12 x + 40)}{(x + 4)}$
144497	Find the Degree	5z^3+2z+1	$5 z^{3} + 2 z + 1$
144498	Find the Slope of a Perpendicular Line	y=-1/2x+2	$y = - \frac{1}{2} x + 2$
144499	Find the Slope of a Perpendicular Line	y=1/2x-3	$y = \frac{1}{2} x - 3$
144500	Find the Slope of a Perpendicular Line	8x+6y=1	$8 x + 6 y = 1$