Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6101	Find the LCD	1/(1-sin(x))+1/(1+sin(x))	$\frac{1}{1 - \sin (x)} + \frac{1}{1 + \sin (x)}$
6102	Evaluate Using the Given Value	sec(x)cot(x)=4 , csc(x)	$\sec (x) \cot (x) = 4$ , $\csc (x)$
6103	Find the GCF	4x^4-8x^3+28x^2	$4 x^{4} - 8 x^{3} + 28 x^{2}$
6104	Evaluate Using the Given Value	f(30)=7	$f (30) = 7$
6105	Evaluate Using the Given Value	f(48) = square root of 48+1-8	$f (48) = \sqrt{48 + 1 - 8}$
6106	Factor	tan(x)-sec(x)	$\tan (x) - \sec (x)$
6107	Factor	xa+2ay+xb+2 by	$x a + 2 a y + x b + 2$ by
6108	Factor	xy+x-2y-2	$x y + x - 2 y - 2$
6109	Factor	sec(x)	$\sec (x)$
6110	Factor	f(3)	$f (3)$
6111	Factor	sin(2x)+sin(4x)	$\sin (2 x) + \sin (4 x)$
6112	Factor	sin(42)cos(17)-cos(42)sin(17)	$\sin (42) \cos (17) - \cos (42) \sin (17)$
6113	Factor	cos(x)-cos(x)^3	$\cos (x) - \cos^{3} (x)$
6114	Factor	sin(arccos(x)-arctan(y))	$\sin (\arccos (x) - \arctan (y))$
6115	Factor	sin(arccot(x))	$\sin (arccot (x))$
6116	Factor	sin(pi-x)	$\sin (π - x)$
6117	Factor	sin(x+pi/6)+sin(x-pi/6)	$\sin (x + \frac{π}{6}) + \sin (x - \frac{π}{6})$
6118	Factor	sin(x+y)+sin(x-y)	$\sin (x + y) + \sin (x - y)$
6119	Factor	tan(2arccos(x))	$\tan (2 \arccos (x))$
6120	Factor	cos(30-45)	$\cos (30 - 45)$
6121	Factor	cos(45-30)	$\cos (45 - 30)$
6122	Factor	cos(60-45)	$\cos (60 - 45)$
6123	Factor	cot(x)	$\cot (x)$
6124	Factor	g(9)*(6x)-1	$g (9) \cdot (6 x) - 1$
6125	Factor	a(nx+k)+s	$a (n x + k) + s$
6126	Factor	a(x+y)+b(x+y)	$a (x + y) + b (x + y)$
6127	Factor	-9x^4+9x^2	$- 9 x^{4} + 9 x^{2}$
6128	Factor	cos(12)cos(13)-sin(12)sin(13)	$\cos (12) \cos (13) - \sin (12) \sin (13)$
6129	Factor	c+1/2c	$c + \frac{1}{2} c$
6130	Factor by Grouping	x^2+2x+5	$x^{2} + 2 x + 5$
6131	Factor by Grouping	n^3-7n^2-n+7	$n^{3} - 7 n^{2} - n + 7$
6132	Factor by Grouping	cos(x)^2+2cos(x)+1	$\cos^{2} (x) + 2 \cos (x) + 1$
6133	Factor by Grouping	x^16+4x^12y+6x^8y^2+4x^4y^3+y^4	$x^{16} + 4 x^{12} y + 6 x^{8} y^{2} + 4 x^{4} y^{3} + y^{4}$
6134	Factor by Grouping	t^2n+2t^n-63	$t^{2} n + 2 t^{n} - 63$
6135	Factor	y-x	$y - x$
6136	Factor	6y-6	$6 y - 6$
6137	Factor by Grouping	( square root of 2)/4-( square root of 6)/4	$\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}$
6138	Factor by Grouping	(1+2csc(x))/(cos(x)+2cot(x))	$\frac{1 + 2 \csc (x)}{\cos (x) + 2 \cot (x)}$
6139	Factor by Grouping	y^3+125	$y^{3} + 125$
6140	Factor by Grouping	x^3+6x^2-2x-12	$x^{3} + 6 x^{2} - 2 x - 12$
6141	Factor by Grouping	x^3-2x^2-11x+12	$x^{3} - 2 x^{2} - 11 x + 12$
6142	Factor by Grouping	x^3-7x^2+9x-63	$x^{3} - 7 x^{2} + 9 x - 63$
6143	Factor by Grouping	x^3-8x^2+2x-16	$x^{3} - 8 x^{2} + 2 x - 16$
6144	Factor by Grouping	\|(x-3)^2-4\|	$\| {(x - 3)}^{2} - 4 \|$
6145	Factor by Grouping	x^2+6x+4	$x^{2} + 6 x + 4$
6146	Factor by Grouping	x^3+5x^2+6x	$x^{3} + 5 x^{2} + 6 x$
6147	Factor by Grouping	3x^2(4x-12)^2+x^3(2)(4x-12)(4)	$3 x^{2} {(4 x - 12)}^{2} + x^{3} (2) (4 x - 12) (4)$
6148	Factor by Grouping	3x^3-x^2+6x-2	$3 x^{3} - x^{2} + 6 x - 2$
6149	Factor by Grouping	2x^2+16x+30	$2 x^{2} + 16 x + 30$
6150	Factor by Grouping	2-4sin(6x)^2	$2 - 4 \sin^{2} (6 x)$
6151	Factor by Grouping	x^9-x^6-x^3+1	$x^{9} - x^{6} - x^{3} + 1$
6152	Factor by Grouping	6x^3-9x^2+4x-6	$6 x^{3} - 9 x^{2} + 4 x - 6$
6153	Factor	-8t^2+50t-25	$- 8 t^{2} + 50 t - 25$
6154	Factor	8s^2-2s-3	$8 s^{2} - 2 s - 3$
6155	Factor	7xy-8xy^2	$7 x y - 8 x y^{2}$
6156	Factor	-8a^2bc-4abc	$- 8 a^{2} b c - 4 a b c$
6157	Factor	7x^3-x^2+7x-1	$7 x^{3} - x^{2} + 7 x - 1$
6158	Factor	7x^2-62x+48	$7 x^{2} - 62 x + 48$
6159	Factor	7x^3-4x^2-3x+11	$7 x^{3} - 4 x^{2} - 3 x + 11$
6160	Factor	7x^3-43x^2+69x-9	$7 x^{3} - 43 x^{2} + 69 x - 9$
6161	Factor	7x^4+6x^3-92x^2-78x+13	$7 x^{4} + 6 x^{3} - 92 x^{2} - 78 x + 13$
6162	Factor	7x^4-13x^2-2	$7 x^{4} - 13 x^{2} - 2$
6163	Factor	7y^2+17y+10	$7 y^{2} + 17 y + 10$
6164	Factor	64x^3-125y^3	$64 x^{3} - 125 y^{3}$
6165	Factor	6x^4+3x^3-x^2	$6 x^{4} + 3 x^{3} - x^{2}$
6166	Factor	64c^3d+125d	$64 c^{3} d + 125 d$
6167	Factor	64x^3y^6-27z^9w^3	$64 x^{3} y^{6} - 27 z^{9} w^{3}$
6168	Factor	-6x^8+7x^4+5	$- 6 x^{8} + 7 x^{4} + 5$
6169	Factor	60x^3+15x^4	$60 x^{3} + 15 x^{4}$
6170	Factor	64m^3+1	$64 m^{3} + 1$
6171	Factor	63x^2-32x-63	$63 x^{2} - 32 x - 63$
6172	Factor	64x^4+x	$64 x^{4} + x$
6173	Factor	64x^6+27y^3	$64 x^{6} + 27 y^{3}$
6174	Factor	64z^3+27	$64 z^{3} + 27$
6175	Factor	6x-x^3-x^5	$6 x - x^{3} - x^{5}$
6176	Factor	6x-8	$6 x - 8$
6177	Factor	7(3x+2)^2(1-x)^2+(3x+2)(1-x)^3	$7 {(3 x + 2)}^{2} {(1 - x)}^{2} + (3 x + 2) {(1 - x)}^{3}$
6178	Factor	9x^3-13x+4	$9 x^{3} - 13 x + 4$
6179	Factor	9x^2-36x-45	$9 x^{2} - 36 x - 45$
6180	Factor	9x^2+12x-6	$9 x^{2} + 12 x - 6$
6181	Factor	9v^7-42v^6+24v^5	$9 v^{7} - 42 v^{6} + 24 v^{5}$
6182	Factor	8x^4yz^3-32x^3y^4z+40x^2y^2z^3	$8 x^{4} y z^{3} - 32 x^{3} y^{4} z + 40 x^{2} y^{2} z^{3}$
6183	Factor	80t-16t^2	$80 t - 16 t^{2}$
6184	Factor	8a+8b+ca+cb	$8 a + 8 b + c a + c b$
6185	Factor	8x^2+53x-21	$8 x^{2} + 53 x - 21$
6186	Factor	8x^3+9x^2-24x-27	$8 x^{3} + 9 x^{2} - 24 x - 27$
6187	Factor	8x^3-125y^6	$8 x^{3} - 125 y^{6}$
6188	Factor	8x^3-3x^2+16x-6	$8 x^{3} - 3 x^{2} + 16 x - 6$
6189	Factor	5t^3-625	$5 t^{3} - 625$
6190	Factor	5x^2+10x-7	$5 x^{2} + 10 x - 7$
6191	Factor	-5x^2+3x+2	$- 5 x^{2} + 3 x + 2$
6192	Factor	5nu^8-15u^4+40n	$5 n u^{8} - 15 u^{4} + 40 n$
6193	Factor	5sin(x)^2csc(x)^2-5sin(x)^2	$5 \sin^{2} (x) \csc^{2} (x) - 5 \sin^{2} (x)$
6194	Factor	5v^3+3v^2+25v+15	$5 v^{3} + 3 v^{2} + 25 v + 15$
6195	Factor	4x(2x-1)+2(2x-1)^2	$4 x (2 x - 1) + 2 {(2 x - 1)}^{2}$
6196	Factor	5(x^2+2)^4(2x)(x-2)^4+(x^2+2)^5(4)(x-2)^3	$5 {(x^{2} + 2)}^{4} (2 x) {(x - 2)}^{4} + {(x^{2} + 2)}^{5} (4) {(x - 2)}^{3}$
6197	Factor	5(x^6+1)^4(6x^5)(3x+2)^3+3(3x+2)^2(3)(x^6+1)^5	$5 {(x^{6} + 1)}^{4} (6 x^{5}) {(3 x + 2)}^{3} + 3 {(3 x + 2)}^{2} (3) {(x^{6} + 1)}^{5}$
6198	Factor	5(a+b)^2+19(a+b)-4	$5 {(a + b)}^{2} + 19 (a + b) - 4$
6199	Factor	5a^2-5	$5 a^{2} - 5$
6200	Factor	5x^2+65x+210	$5 x^{2} + 65 x + 210$