Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
156201	Write with Rational (Fractional) Exponents	2/x*3/(2x-5)	$\frac{2}{x} \cdot \frac{3}{2 x - 5}$
156202	Write with Rational (Fractional) Exponents	(3p)^3	${(3 p)}^{3}$
156203	Write with Rational (Fractional) Exponents	(-3a^-2b^3)/(15a^-7b^-1)	$\frac{- 3 a^{- 2} b^{3}}{15 a^{- 7} b^{- 1}}$
156204	Write with Rational (Fractional) Exponents	(5^2)^3	${(5^{2})}^{3}$
156205	Write with Rational (Fractional) Exponents	(5^2)^4	${(5^{2})}^{4}$
156206	Write with Rational (Fractional) Exponents	(4x)/( cube root of z^4)	$\frac{4 x}{\sqrt[3]{z^{4}}}$
156207	Expand the Trigonometric Expression	2(x+1)	$2 (x + 1)$
156208	Expand the Trigonometric Expression	2(x+5)	$2 (x + 5)$
156209	Expand the Trigonometric Expression	2(x+7)	$2 (x + 7)$
156210	Expand the Trigonometric Expression	3(2C-4)	$3 (2 C - 4)$
156211	Expand the Trigonometric Expression	3(r-7s)	$3 (r - 7 s)$
156212	Expand the Trigonometric Expression	3^(3t+2)	$3^{3 t + 2}$
156213	Expand the Trigonometric Expression	-4(1.2h-0.5)	$- 4 (1.2 h - 0.5)$
156214	Expand the Trigonometric Expression	3(x-5)	$3 (x - 5)$
156215	Expand the Trigonometric Expression	3(2z+y)	$3 (2 z + y)$
156216	Expand the Trigonometric Expression	3(-3a+4)	$3 (- 3 a + 4)$
156217	Expand the Trigonometric Expression	3(4y+1)	$3 (4 y + 1)$
156218	Expand the Trigonometric Expression	-4(5x-8)	$- 4 (5 x - 8)$
156219	Expand the Trigonometric Expression	4(x+2)	$4 (x + 2)$
156220	Expand the Trigonometric Expression	5(2x+1)	$5 (2 x + 1)$
156221	Expand the Trigonometric Expression	-8(7f-1)	$- 8 (7 f - 1)$
156222	Expand the Trigonometric Expression	6(2b-4)	$6 (2 b - 4)$
156223	Expand the Trigonometric Expression	6(x+2)	$6 (x + 2)$
156224	Expand the Trigonometric Expression	7(1/9a+2)	$7 (\frac{1}{9} a + 2)$
156225	Expand the Trigonometric Expression	cos(2x+x)	$\cos (2 x + x)$
156226	Expand the Trigonometric Expression	9(c-2)	$9 (c - 2)$
156227	Expand the Trigonometric Expression	(x-4)^8	${(x - 4)}^{8}$
156228	Expand the Trigonometric Expression	(x+y)^18	${(x + y)}^{18}$
156229	Expand the Trigonometric Expression	2(3z-1)	$2 (3 z - 1)$
156230	Expand the Trigonometric Expression	1-2cos(x)^2	$1 - 2 \cos^{2} (x)$
156231	Expand the Trigonometric Expression	log base 2 of 8x^2+16x+8	$\log_{2} (8 x^{2} + 16 x + 8)$
156232	Expand the Trigonometric Expression	log base 2 of 4x^2+16x+16	$\log_{2} (4 x^{2} + 16 x + 16)$
156233	Expand the Trigonometric Expression	(x-7+11i)	$(x - 7 + 11 i)$
156234	Expand the Trigonometric Expression	(y+3)^5	${(y + 3)}^{5}$
156235	Expand the Trigonometric Expression	(y+4)^2	${(y + 4)}^{2}$
156236	Expand the Trigonometric Expression	x(x-2)	$x (x - 2)$
156237	Determine if Injective (One to One)	(1,2) , (3,4)	$(1, 2)$ , $(3, 4)$
156238	Expand the Trigonometric Expression	x^5y^2z	$x^{5} y^{2} z$
156239	Expand the Trigonometric Expression	cos(u+v)	$\cos (u + v)$
156240	Expand the Trigonometric Expression	cos(arcsin(u)-arctan(v))	$\cos (\arcsin (u) - \arctan (v))$
156241	Expand the Trigonometric Expression	cos(arctan(u)+arccos(v))	$\cos (\tan^{-1} (u) + \cos^{-1} (v))$
156242	Expand the Trigonometric Expression	cos(x)^2+1	$\cos^{2} (x) + 1$
156243	Expand the Trigonometric Expression	csc(pi/2-x)	$\csc (\frac{π}{2} - x)$
156244	Expand the Trigonometric Expression	cot(pi/2-x)	$\cot (\frac{π}{2} - x)$
156245	Expand the Trigonometric Expression	d-4(1/2d+5)	$d - 4 (\frac{1}{2} d + 5)$
156246	Expand the Trigonometric Expression	f(4f+2)	$f (4 f + 2)$
156247	Expand the Trigonometric Expression	sin(-6x)	$\sin (- 6 x)$
156248	Expand the Trigonometric Expression	sin(arccos(u)+arctan(v))	$\sin (\arccos (u) + \arctan (v))$
156249	Expand the Trigonometric Expression	sin(pi/6-x)	$\sin (\frac{π}{6} - x)$
156250	Expand the Trigonometric Expression	sin(28x)	$\sin (28 x)$
156251	Find @FORMULA	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
156252	Find @FORMULA	f(x)=2/x	$f (x) = \frac{2}{x}$
156253	Find @FORMULA	f(x)=8/x	$f (x) = \frac{8}{x}$
156254	Find @FORMULA	f(x)=2^x	$f (x) = 2^{x}$
156255	Find @FORMULA	f(x)=2x^2-x-1	$f (x) = 2 x^{2} - x - 1$
156256	Find @FORMULA	f(x)=2x+2	$f (x) = 2 x + 2$
156257	Find @FORMULA	f(x)=3x^2-2	$f (x) = 3 x^{2} - 2$
156258	Find @FORMULA	f(x)=3x^2-5	$f (x) = 3 x^{2} - 5$
156259	Find @FORMULA	f(x)=9x+10	$f (x) = 9 x + 10$
156260	Find @FORMULA	f(x)=9x-2	$f (x) = 9 x - 2$
156261	Find @FORMULA	f(x)=3x+8	$f (x) = 3 x + 8$
156262	Find @FORMULA	f(x)=6x-3	$f (x) = 6 x - 3$
156263	Find the Parabola Through (0,-3) with Vertex (1,1)	(1,1) , (0,-3)	$(1, 1) (0, - 3)$
156264	Find the Parabola Through (3,0) with Vertex (-1,0)	(-1,0) , (3,0)	$(- 1, 0) (3, 0)$
156265	Find the Parabola Through (4,0) with Vertex (0,0)	(0,0) , (4,0)	$(0, 0) (4, 0)$
156266	Find the Parabola Through (8,0) with Vertex (0,0)	(0,0) , (8,0)	$(0, 0)$ , $(8, 0)$
156267	Combine	(x+2)(x-2)	$(x + 2) (x - 2)$
156268	Combine	(c^2-6)(2c^2+3c-1)	$(c^{2} - 6) (2 c^{2} + 3 c - 1)$
156269	Combine	(sin(x))/(cos(x))+(cos(x))/(sin(x))=	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)} =$
156270	Combine	square root of 8y^3+6y square root of 2y	$\sqrt{8 y^{3}} + 6 y \sqrt{2 y}$
156271	Combine	log base 5 of x^2-1- log base 5 of x-1	$\log_{5} (x^{2} - 1) - \log_{5} (x - 1)$
156272	Combine	cube root of 27x^3- square root of 12x^3	$\sqrt[3]{27 x^{3}} - \sqrt[2]{12 x^{3}}$
156273	Combine	cube root of 27x^3-2 square root of 12x^3	$\sqrt[3]{27 x^{3}} - 2 \sqrt{12 x^{3}}$
156274	Combine	fourth root of 5z- cube root of 5z	$\sqrt[4]{5 z} - \sqrt[3]{5 z}$
156275	Combine	fourth root of 7x- square root of 7x	$\sqrt[4]{7 x} - \sqrt{7 x}$
156276	Combine	fifth root of 6y- cube root of 6y	$\sqrt[5]{6 y} - \sqrt[3]{6 y}$
156277	Combine	square root of 2a-7 square root of 32a-5 square root of 72a	$\sqrt{2 a} - 7 \sqrt{32 a} - 5 \sqrt{72 a}$
156278	Combine	10a-2b-8a+20b	$10 a - 2 b - 8 a + 20 b$
156279	Combine	square root of 6a-3 square root of 96a-6 square root of 24a	$\sqrt{6 a} - 3 \sqrt{96 a} - 6 \sqrt{24 a}$
156280	Combine	square root of 9x+5 square root of x	$\sqrt{9 x} + 5 \sqrt{x}$
156281	Combine	0.5e^(2 natural log of x)+2 natural log of e^x	$0.5 e^{2 \ln (x)} + 2 \ln (e^{x})$
156282	Combine	2-4y-7y^2+5y^2+5+4y-2y	$2 - 4 y - 7 y^{2} + 5 y^{2} + 5 + 4 y - 2 y$
156283	Combine	23b+3.8b	$23 b + 3.8 b$
156284	Combine	20+10q+3q-4	$20 + 10 q + 3 q - 4$
156285	Combine	-2+5x^3+3y^2+4x^3-7+3-5x^3	$- 2 + 5 x^{3} + 3 y^{2} + 4 x^{3} - 7 + 3 - 5 x^{3}$
156286	Combine	15x-x	$15 x - x$
156287	Combine	16+8a-3a+6b-9	$16 + 8 a - 3 a + 6 b - 9$
156288	Combine	-2x+11+6x	$- 2 x + 11 + 6 x$
156289	Combine	2ab^2+2bc-7ac-6bc+9ab^2	$2 a b^{2} + 2 b c - 7 a c - 6 b c + 9 a b^{2}$
156290	Combine	2r-4r+7+r	$2 r - 4 r + 7 + r$
156291	Combine	-2x-2-y^3-5x+7y^3-3-x	$- 2 x - 2 - y^{3} - 5 x + 7 y^{3} - 3 - x$
156292	Combine	2x-3y+z+10	$2 x - 3 y + z + 10$
156293	Combine	32x^5-80x^4+80x^3-40x^2+10x-1	$32 x^{5} - 80 x^{4} + 80 x^{3} - 40 x^{2} + 10 x - 1$
156294	Combine	2x+7+6x^3-1+3-6x-4x	$2 x + 7 + 6 x^{3} - 1 + 3 - 6 x - 4 x$
156295	Combine	3(4h+2k)	$3 (4 h + 2 k)$
156296	Combine	-3f(-8)+7g(2)	$- 3 \cdot f (- 8) + 7 \cdot g (2)$
156297	Combine	4a+7b-12c-8a-9b+12d	$4 a + 7 b - 12 c - 8 a - 9 b + 12 d$
156298	Combine	3y+3y+5+7x^3-y-6-7x^3	$3 y + 3 y + 5 + 7 x^{3} - y - 6 - 7 x^{3}$
156299	Combine	3y+4x^2-3x^2-2y+x^2+2y-3x^3	$3 y + 4 x^{2} - 3 x^{2} - 2 y + x^{2} + 2 y - 3 x^{3}$
156300	Combine	3x-2x	$3 x - 2 x$