Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21001	Factor	1-tan(x)^2	$1 - \tan^{2} (x)$
21002	Factor	1-tan(x)^3	$1 - \tan^{3} (x)$
21003	Factor	1+cos(18x)	$1 + \cos (18 x)$
21004	Factor	10cos(x)^2+13cos(x)+4	$10 \cos^{2} (x) + 13 \cos (x) + 4$
21005	Factor	2x^2+10x-4	$2 x^{2} + 10 x - 4$
21006	Factor	2sin(x)^2-1	$2 \sin^{2} (x) - 1$
21007	Factor	2sin(x)^2-3sin(x)+1	$2 \sin^{2} (x) - 3 \sin (x) + 1$
21008	Factor	-2cos(x)^4	$- 2 \cos^{4} (x)$
21009	Factor	2cos(x)^4-cos(x)^2-2sin(x)^2cos(x)^2+sin(x)^2	$2 \cos^{4} (x) - \cos^{2} (x) - 2 \sin^{2} (x) \cos^{2} (x) + \sin^{2} (x)$
21010	Factor	2n^2-10n-72	$2 n^{2} - 10 n - 72$
21011	Factor	2cos(x)^2+11cos(x)-5	$2 \cos^{2} (x) + 11 \cos (x) - 5$
21012	Factor	1-cos(12x)	$1 - \cos (12 x)$
21013	Factor	2ab^2-10ab+10ab^3	$2 a b^{2} - 10 a b + 10 a b^{3}$
21014	Factor	2cos(x)^2+cos(x)	$2 \cos^{2} (x) + \cos (x)$
21015	Factor	2x^3-3x+2x^2-3	$2 x^{3} - 3 x + 2 x^{2} - 3$
21016	Factor	2x^2-x-x	$2 x^{2} - x - x$
21017	Factor	2x^2-7	$2 x^{2} - 7$
21018	Factor	2x^2+8x+4	$2 x^{2} + 8 x + 4$
21019	Factor	2x^2+5-6	$2 x^{2} + 5 - 6$
21020	Factor	2x^2+7x^3-8x^2+5	$2 x^{2} + 7 x^{3} - 8 x^{2} + 5$
21021	Factor	20k^2-102k^2+54k	$20 k^{2} - 102 k^{2} + 54 k$
21022	Factor	27x^3y^9-8z^12	$27 x^{3} y^{9} - 8 z^{12}$
21023	Factor	27x^2y^2-36xy^2+12y^4	$27 x^{2} y^{2} - 36 x y^{2} + 12 y^{4}$
21024	Factor	25r^2-64	$25 r^{2} - 64$
21025	Factor	2sin(60)	$2 \sin (60)$
21026	Factor	2i-5j-3i+7j	$2 i - 5 j - 3 i + 7 j$
21027	Factor	2cos(a)cos(b)	$2 \cos (a) \cos (b)$
21028	Factor	28x-2	$28 x - 2$
21029	Factor	r^2+16	$r^{2} + 16$
21030	Factor	r^3-5r^2+2r-10	$r^{3} - 5 r^{2} + 2 r - 10$
21031	Factor	pi/3*20/15	$\frac{π}{3} \cdot \frac{20}{15}$
21032	Factor	p^2-4r^2+4p^3+8p^2r	$p^{2} - 4 r^{2} + 4 p^{3} + 8 p^{2} r$
21033	Factor	k^3-9k^2+2k-18	$k^{3} - 9 k^{2} + 2 k - 18$
21034	Factor	(h-2)/(h^2+4h+4)+(h-2)/(h+2)	$\frac{h - 2}{h^{2} + 4 h + 4} + \frac{h - 2}{h + 2}$
21035	Factor	cot(t)^2-csc(t)^2	$\cot^{2} (t) - \csc^{2} (t)$
21036	Factor	csc(x)^2	$\csc^{2} (x)$
21037	Factor	sec(x)^4-tan(x)^4	$\sec^{4} (x) - \tan^{4} (x)$
21038	Factor	(sin(x))/(cos(x))+(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)}$
21039	Factor	sec(69)^2-tan(69)^2	$\sec^{2} (69) - \tan^{2} (69)$
21040	Factor	sin(x+1)^2-sin(x-1)^2	$\sin^{2} (x + 1) - \sin^{2} (x - 1)$
21041	Factor	sin(x)^2csc(x)^2-sin(x)^2	$\sin^{2} (x) \csc^{2} (x) - \sin^{2} (x)$
21042	Factor	sin(x)^2sec(x)^2-sin(x)^2	$\sin^{2} (x) \sec^{2} (x) - \sin^{2} (x)$
21043	Factor	sin(x)^2+3cos(x)+3	$\sin^{2} (x) + 3 \cos (x) + 3$
21044	Factor	sin(x)^2-4sin(x)+3	$\sin^{2} (x) - 4 \sin (x) + 3$
21045	Factor	tan(x)^3+27	$\tan^{3} (x) + 27$
21046	Factor	tan(z)^2-cos(x)^2	$\tan^{2} (z) - \cos^{2} (x)$
21047	Factor	tan(x)^2-1	$\tan^{2} (x) - 1$
21048	Factor	tan(x)^2-tan(x)	$\tan^{2} (x) - \tan (x)$
21049	Factor	arctan(-1)	$\arctan (- 1)$
21050	Factor	w^2-w-132	$w^{2} - w - 132$
21051	Factor	tan(x)^3-tan(x)sec(x)^2	$\tan^{3} (x) - \tan (x) \sec^{2} (x)$
21052	Factor	x^2y^2-4xy-12	$x^{2} y^{2} - 4 x y - 12$
21053	Factor	x^2+10x+6	$x^{2} + 10 x + 6$
21054	Factor	x^2-12/25+4/5x	$x^{2} - \frac{12}{25} + \frac{4}{5} x$
21055	Factor	x^16-4x^8-21	$x^{16} - 4 x^{8} - 21$
21056	Factor	x^5+4x^3-32x	$x^{5} + 4 x^{3} - 32 x$
21057	Factor	x^3-kx^2+12x+21k	$x^{3} - k x^{2} + 12 x + 21 k$
21058	Factor	x^3y^3-2x^3y^2+x^2y^2	$x^{3} y^{3} - 2 x^{3} y^{2} + x^{2} y^{2}$
21059	Factor	x^2-9(x^2+9)	$x^{2} - 9 (x^{2} + 9)$
21060	Factor	-x^2+5x+28	$- x^{2} + 5 x + 28$
21061	Factor	x^2-18x+36	$x^{2} - 18 x + 36$
21062	Factor	x^2-2x-5	$x^{2} - 2 x - 5$
21063	Factor	6x+20	$6 x + 20$
21064	Factor	6xr+2xs+3(yr)+ys	$6 x r + 2 x s + 3 y r + y s$
21065	Factor	6a^4-18a^3+12a^2	$6 a^{4} - 18 a^{3} + 12 a^{2}$
21066	Factor	64-36x^2	$64 - 36 x^{2}$
21067	Factor	81g^2-64	$81 g^{2} - 64$
21068	Factor	8g^3+10g^2-72g-90	$8 g^{3} + 10 g^{2} - 72 g - 90$
21069	Factor	7x^8-63x^7+42x^6	$7 x^{8} - 63 x^{7} + 42 x^{6}$
21070	Factor	7x^9+18x^6-52x^5+37x^4+7x^3-10x^2+15x-13	$7 x^{9} + 18 x^{6} - 52 x^{5} + 37 x^{4} + 7 x^{3} - 10 x^{2} + 15 x - 13$
21071	Factor	7x(2)(x^2+1)(2x)-(x^2+1)^2*7	$7 x (2) (x^{2} + 1) (2 x) - {(x^{2} + 1)}^{2} \cdot 7$
21072	Factor	-8a^4*(16a^3)-4a^2	$- 8 a^{4} \cdot (16 a^{3}) - 4 a^{2}$
21073	Factor	9y^2+3y-30	$9 y^{2} + 3 y - 30$
21074	Factor	9x^2-6x+2	$9 x^{2} - 6 x + 2$
21075	Factor	9csc(z)^4-6csc(z)^2+1	$9 \csc^{4} (z) - 6 \csc^{2} (z) + 1$
21076	Factor	9c^2-100	$9 c^{2} - 100$
21077	Factor	8cos(15)*sin(15)	$8 \cos (15) \cdot \sin (15)$
21078	Factor	cos((11pi)/12)cos((3pi)/4)+sin((11pi)/12)sin((3pi)/4)	$\cos (\frac{11 π}{12}) \cos (\frac{3 π}{4}) + \sin (\frac{11 π}{12}) \sin (\frac{3 π}{4})$
21079	Factor	cos((13pi)/15)cos(-pi/5)-sin((13pi)/15)sin(-pi/5)	$\cos (\frac{13 π}{15}) \cos (- \frac{π}{5}) - \sin (\frac{13 π}{15}) \sin (- \frac{π}{5})$
21080	Factor	cos((3pi)/2)	$\cos (\frac{3 π}{2})$
21081	Factor	cos((5pi)/12)	$\cos (\frac{5 π}{12})$
21082	Factor	cos(arcsin(x))	$\cos (\arcsin (x))$
21083	Factor	cos(arcsin(x)-arctan(y))	$\cos (\arcsin (x) - \arctan (y))$
21084	Factor	cos((7pi)/12)cos((5pi)/12)+sin((7pi)/12)sin((5pi)/12)	$\cos (\frac{7 π}{12}) \cos (\frac{5 π}{12}) + \sin (\frac{7 π}{12}) \sin (\frac{5 π}{12})$
21085	Factor	cos(x)(2cos(x)-1)	$\cos (x) (2 \cos (x) - 1)$
21086	Factor	90*sin(0.9577)	$90 \cdot \sin (0.9577)$
21087	Factor	9x+8	$9 x + 8$
21088	Factor	sin(8x)cos(4x)	$\sin (8 x) \cos (4 x)$
21089	Factor	sin(4x)cos(3x)+cos(4x)sin(3x)	$\sin (4 x) \cos (3 x) + \cos (4 x) \sin (3 x)$
21090	Factor	sin(4x)cos(9x)+cos(4x)sin(9x)	$\sin (4 x) \cos (9 x) + \cos (4 x) \sin (9 x)$
21091	Factor	sin(6x)-sin(2x)	$\sin (6 x) - \sin (2 x)$
21092	Factor	sin(3x-2pi)	$\sin (3 x - 2 π)$
21093	Factor	sin(42)cos(48)+cos(42)sin(48)	$\sin (42) \cos (48) + \cos (42) \sin (48)$
21094	Factor	sin(2x)-sin(x)	$\sin (2 x) - \sin (x)$
21095	Factor	sin(4x)+sin(2x)	$\sin (4 x) + \sin (2 x)$
21096	Factor	sin(30)	$\sin (30)$
21097	Factor	sin(x)tan(x)+cos(x)	$\sin (x) \tan (x) + \cos (x)$
21098	Factor	sin(x-(5pi)/4)	$\sin (x - \frac{5 π}{4})$
21099	Factor	sin(x+y)-sin(x-y)	$\sin (x + y) - \sin (x - y)$
21100	Solve for ?	theta=pi/4	$θ = \frac{π}{4}$