Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
22201	Simplify	(5+6i)(5-6i)	$(5 + 6 i) (5 - 6 i)$
22202	Simplify	(4-5i)(4+5i)	$(4 - 5 i) (4 + 5 i)$
22203	Simplify	(4x+7)(4x-7)	$(4 x + 7) (4 x - 7)$
22204	Simplify	(1-3i)(1+3i)	$(1 - 3 i) (1 + 3 i)$
22205	Simplify	(2x+1)(2x+1)	$(2 x + 1) (2 x + 1)$
22206	Simplify	(x^2+4)(x^2-4)	$(x^{2} + 4) (x^{2} - 4)$
22207	Solve for x	\|x^2-8x\|=16	$\| x^{2} - 8 x \| = 16$
22208	Solve for x	2 natural log of x+3=0	$2 \ln (x + 3) = 0$
22209	Solve by Graphing	y=-1/2x+1 -2y=x-2	$y = - \frac{1}{2} x + 1$ $- 2 y = x - 2$
22210	Simplify	square root of 78	$\sqrt{78}$
22211	Solve for x	x^(2/3)-2x^(1/3)-8=0	$x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 8 = 0$
22212	Solve for x	x^2+6x-16=0	$x^{2} + 6 x - 16 = 0$
22213	Solve for x	x^2-5x-24=0	$x^{2} - 5 x - 24 = 0$
22214	Simplify	i^-101	$i^{- 101}$
22215	Solve for x	16x^2+2x-3=0	$16 x^{2} + 2 x - 3 = 0$
22216	Simplify	(2x^3)^3	${(2 x^{3})}^{3}$
22217	Solve by Graphing	y=2x+1 y=-x+4	$y = 2 x + 1$ $y = - x + 4$
22218	Simplify	(x-5)(x+7)	$(x - 5) (x + 7)$
22219	Solve by Graphing	y=2x-3 y=-x+3	$y = 2 x - 3$ $y = - x + 3$
22220	Simplify	(x-5)(x-3)	$(x - 5) (x - 3)$
22221	Solve by Graphing	y=-3 x-y=8	$y = - 3$ $x - y = 8$
22222	Simplify	(x+5)(x-6)	$(x + 5) (x - 6)$
22223	Simplify	(x+5)(x-7)	$(x + 5) (x - 7)$
22224	Simplify	(8i)(4i)(-9i)	$(8 i) (4 i) (- 9 i)$
22225	Simplify	(8-11i)(8-11i)	$(8 - 11 i) (8 - 11 i)$
22226	Simplify	(a-7)(a+7)	$(a - 7) (a + 7)$
22227	Simplify	(-27a^3b^2)/(3ab)	$\frac{- 27 a^{3} b^{2}}{3 a b}$
22228	Solve by Graphing	y=x-2 , y=4x+3	$y = x - 2$ , $y = 4 x + 3$
22229	Simplify	(b+1)(b-1)	$(b + 1) (b - 1)$
22230	Simplify	(7x+1)(7x-1)	$(7 x + 1) (7 x - 1)$
22231	Simplify	(7-3i)(8+4i)	$(7 - 3 i) (8 + 4 i)$
22232	Simplify	square root of 1/64	$\sqrt{\frac{1}{64}}$
22233	Simplify	(x^4)^-3*2x^4	${(x^{4})}^{- 3} \cdot 2 x^{4}$
22234	Find the Range	y = square root of x-3-8	$y = \sqrt{x - 3} - 8$
22235	Simplify	-2(9-(x+7))	$- 2 (9 - (x + 7))$
22236	Find the Range	(x-7)^2+(y-2)^2=1	${(x - 7)}^{2} + {(y - 2)}^{2} = 1$
22237	Simplify	i^68	$i^{68}$
22238	Find the Range	h=70t-16t^2	$h = 70 t - 16 t^{2}$
22239	Simplify	i^107	$i^{107}$
22240	Simplify	i^-27	$i^{- 27}$
22241	Find the Range	(x+4)^2+y^2=36	${(x + 4)}^{2} + y^{2} = 36$
22242	Simplify	c^(3/7)*c^(8/7)	$c^{\frac{3}{7}} \cdot c^{\frac{8}{7}}$
22243	Find the Quadratic Equation	(-6,-7)	$(- 6, - 7)$
22244	Simplify	-n^-5	$- n^{- 5}$
22245	Find the Quadratic Equation	(-9,2)	$(- 9, 2)$
22246	Simplify	(-3x)^0	${(- 3 x)}^{0}$
22247	Simplify	(3-i)^2	${(3 - i)}^{2}$
22248	Find the Quadratic Equation	square root of 2 , 5i	$\sqrt{2}$ , $5 i$
22249	Simplify	(216r^9)^(1/3)	${(216 r^{9})}^{\frac{1}{3}}$
22250	Find the Quadratic Equation	-5 , 7	$- 5$ , $7$
22251	Simplify	(-27x^6)^(1/3)	${(- 27 x^{6})}^{\frac{1}{3}}$
22252	Determine the Possible Number of Real Roots	8x^3-3x^2+5x+15	$8 x^{3} - 3 x^{2} + 5 x + 15$
22253	Simplify	(-3c^3d^4e^6)^2	${(- 3 c^{3} d^{4} e^{6})}^{2}$
22254	Find the 5th Term	5 , 10 , 20 , 40	$5$ , $10$ , $20$ , $40$
22255	Simplify	(-i)^11	${(- i)}^{11}$
22256	Simplify	(-4x)^0	${(- 4 x)}^{0}$
22257	Find the 5th Term	162 , 108 , 72	$162$ , $108$ , $72$
22258	Find the 5th Term	1 , 7 , 49 , 343	$1$ , $7$ , $49$ , $343$
22259	Simplify	(f^2-25)/5*f/(f-5)	$\frac{f^{2} - 25}{5} \cdot \frac{f}{f - 5}$
22260	Find the 5th Term	-1 , 2 , 5 , 8	$- 1$ , $2$ , $5$ , $8$
22261	Simplify	(x^2-2x-24)/(x^2-5x-36)	$\frac{x^{2} - 2 x - 24}{x^{2} - 5 x - 36}$
22262	Simplify	(x^2-3x-54)/(x^2-18x+81)*(x^2+12x+36)/(x+6)	$\frac{x^{2} - 3 x - 54}{x^{2} - 18 x + 81} \cdot \frac{x^{2} + 12 x + 36}{x + 6}$
22263	Simplify	(x^2-49)/(x^2-3x-28)*(x+4)/x	$\frac{x^{2} - 49}{x^{2} - 3 x - 28} \cdot \frac{x + 4}{x}$
22264	Simplify	1/a+1/b	$\frac{1}{a} + \frac{1}{b}$
22265	Simplify	(10x^2-20x)/(40x^3-80x^2)*(16x^3+80x^2)/(6x+30)	$\frac{10 x^{2} - 20 x}{40 x^{3} - 80 x^{2}} \cdot \frac{16 x^{3} + 80 x^{2}}{6 x + 30}$
22266	Simplify	12/(xy^3)-9/(xy^3)	$\frac{12}{x y^{3}} - \frac{9}{x y^{3}}$
22267	Simplify	(1+h)^2	${(1 + h)}^{2}$
22268	Simplify	3 square root of 216	$3 \sqrt{216}$
22269	Simplify	x^2+4x	$x^{2} + 4 x$
22270	Simplify	x^(5/2)	$x^{\frac{5}{2}}$
22271	Simplify	x^(-2/5)	$x^{- \frac{2}{5}}$
22272	Simplify	2(x+5)	$2 (x + 5)$
22273	Solve for x	28-7x=-4(-7x-7)	$28 - 7 x = - 4 (- 7 x - 7)$
22274	Solve for x	2x+3y=6	$2 x + 3 y = 6$
22275	Solve for x	3(x-5)<2(2x-1)	$3 (x - 5) < 2 (2 x - 1)$
22276	Solve for x	x^2-3x-18>0	$x^{2} - 3 x - 18 > 0$
22277	Solve for x	x^2-3x-4<0	$x^{2} - 3 x - 4 < 0$
22278	Solve for x	x^2>16	$x^{2} > 16$
22279	Find g(f(x))	f(x)=7x-4 , g(x)=(x+4)/7	$f (x) = 7 x - 4$ , $g (x) = \frac{x + 4}{7}$
22280	Solve for x	10-2(3x+4)<11	$10 - 2 (3 x + 4) < 11$
22281	Simplify	3i+i	$3 i + i$
22282	Simplify	3 square root of -64	$3 \sqrt{- 64}$
22283	Find g(f(x))	f(x)=9x+1 , g(x) = square root of x	$f (x) = 9 x + 1$ , $g (x) = \sqrt{x}$
22284	Find g(f(x))	f(x)=9x+7 , g(x) = square root of x	$f (x) = 9 x + 7$ , $g (x) = \sqrt{x}$
22285	Simplify	2a^(-1/2)	$2 a^{- \frac{1}{2}}$
22286	Simplify	2k^8*(3k^3)	$2 k^{8} \cdot (3 k^{3})$
22287	Simplify	2 square root of 2x^3+4x square root of 8x	$2 \sqrt{2 x^{3}} + 4 x \sqrt{8 x}$
22288	Find g(f(x))	f(x)=x^2 , g(x)=x-2	$f (x) = x^{2}$ , $g (x) = x - 2$
22289	Simplify	-4+7(1-3m)	$- 4 + 7 (1 - 3 m)$
22290	Solve for n	-4(3+n)>-32	$- 4 (3 + n) > - 32$
22291	Solve for a	a-6=15+8a	$a - 6 = 15 + 8 a$
22292	Simplify	cos(60)	$\cos (60)$
22293	Simplify	x(x-1)	$x (x - 1)$
22294	Simplify	-7(n+3)-8(1+8n)	$- 7 (n + 3) - 8 (1 + 8 n)$
22295	Simplify	8x^-2	$8 x^{- 2}$
22296	Find g(f(x))	f(x)=8x-5 , g(x)=(x+8)/5	$f (x) = 8 x - 5$ , $g (x) = \frac{x + 8}{5}$
22297	Find g(f(x))	f(x)=(x^2-36)/(x+6) , g(x)=x-6	$f (x) = \frac{x^{2} - 36}{x + 6}$ , $g (x) = x - 6$
22298	Solve for y	y<7	$y < 7$
22299	Find g(f(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
22300	Multiply	( square root of a+ square root of b)( square root of a- square root of b)	$(\sqrt{a} + \sqrt{b}) (\sqrt{a} - \sqrt{b})$