Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
108501	Simplify	(2+5i)(4+3i)	$(2 + 5 i) (4 + 3 i)$
108502	Simplify	(2+3i)(4+5i)	$(2 + 3 i) (4 + 5 i)$
108503	Find the Inverse	f(x)=5/9(x-32)	$f (x) = \frac{5}{9} (x - 32)$
108504	Simplify	(2x^5-5x^3)(x^4+3x^2-4)	$(2 x^{5} - 5 x^{3}) (x^{4} + 3 x^{2} - 4)$
108505	Simplify	(2x^4)(8x^15)	$(2 x^{4}) (8 x^{15})$
108506	Simplify	2x^2+3x-6+(x^2-18x+6)	$2 x^{2} + 3 x - 6 + (x^{2} - 18 x + 6)$
108507	Simplify	(2x^2y^6z^5)(5x^4y^5z^3)	$(2 x^{2} y^{6} z^{5}) (5 x^{4} y^{5} z^{3})$
108508	Write in Exponential Form	-3 = log base 5 of 1/125	$- 3 = \log_{5} (\frac{1}{125})$
108509	Simplify	(-2h^5)(4h^-3)	$(- 2 h^{5}) (4 h^{- 3})$
108510	Simplify	2x^2+(x-5)	$2 x^{2} + (x - 5)$
108511	Subtract	180-131	$180 - 131$
108512	Simplify	(2 square root of 3+ square root of 5)(6 square root of 5-4 square root of 3)	$(2 \sqrt{3} + \sqrt{5}) (6 \sqrt{5} - 4 \sqrt{3})$
108513	Simplify	2u^3+6u^2+3+(2u^3-7u+6)	$2 u^{3} + 6 u^{2} + 3 + (2 u^{3} - 7 u + 6)$
108514	Subtract	180-111	$180 - 111$
108515	Simplify	(x^6y^3)(5xy^2)(-7x^5)	$(x^{6} y^{3}) (5 x y^{2}) (- 7 x^{5})$
108516	Simplify	(x^5)(x^7)	$(x^{5}) (x^{7})$
108517	Subtract	(d-9)-(3d-1)	$(d - 9) - (3 d - 1)$
108518	Simplify	(y^2+8y-6)(4y-3)	$(y^{2} + 8 y - 6) (4 y - 3)$
108519	Convert to Interval Notation	\|8-8x\|<-13	$\| 8 - 8 x \| < - 13$
108520	Simplify	x^3-x^2-14x+24	$x^{3} - x^{2} - 14 x + 24$
108521	Write as a Single Logarithm	log of x-2( log of y+3 log of z)	$\log (x) - 2 (\log (y) + 3 \log (z))$
108522	Simplify	-x^4+13x^5+6x^3+(6x^3+5x^5+7x^4)	$- x^{4} + 13 x^{5} + 6 x^{3} + (6 x^{3} + 5 x^{5} + 7 x^{4})$
108523	Simplify	-1+5i+(-2-3i)	$- 1 + 5 i + (- 2 - 3 i)$
108524	Write in Exponential Form	log base 5 of 1/125=-3	$\log_{5} (\frac{1}{125}) = - 3$
108525	Simplify	(1+4i)(1-4i)	$(1 + 4 i) (1 - 4 i)$
108526	Simplify	(1-r^3)(1-r)^-3	$(1 - r^{3}) {(1 - r)}^{- 3}$
108527	Find dx/dy	x^2-6xy+y^2=6	$x^{2} - 6 x y + y^{2} = 6$
108528	Simplify	(2a^2)(8a)	$(2 a^{2}) (8 a)$
108529	Simplify	(2a^2+4a+5)(5a-4)	$(2 a^{2} + 4 a + 5) (5 a - 4)$
108530	Convert to a Decimal	1/40	$\frac{1}{40}$
108531	Simplify	(18-9i)(2+i)	$(18 - 9 i) (2 + i)$
108532	Simplify	(11-4i)(-5-9i)	$(11 - 4 i) (- 5 - 9 i)$
108533	Simplify	(10x+10y)(10x+10y)	$(10 x + 10 y) (10 x + 10 y)$
108534	Expand the Logarithmic Expression	log base 5 of 7a^5	$\log_{5} (7 a^{5})$
108535	Simplify	(10+y)(10-y)	$(10 + y) (10 - y)$
108536	Find the Inverse	y=12x-3	$y = 12 x - 3$
108537	Simplify	12-5i+(-3+4i)	$12 - 5 i + (- 3 + 4 i)$
108538	Simplify	(-12i)-(3+3i)	$(- 12 i) - (3 + 3 i)$
108539	Find the Center and Radius	x^2+y^2-2x-6y-15=0	$x^{2} + y^{2} - 2 x - 6 y - 15 = 0$
108540	Simplify	(14p^4+11p^2-9p^5)-(-14+5p^5-11p^2)	$(14 p^{4} + 11 p^{2} - 9 p^{5}) - (- 14 + 5 p^{5} - 11 p^{2})$
108541	Simplify	14+3i+(7+6i)	$14 + 3 i + (7 + 6 i)$
108542	Simplify	(12t-5)(12t+5)	$(12 t - 5) (12 t + 5)$
108543	Solve for z	z^2+9=10z	$z^{2} + 9 = 10 z$
108544	Simplify	(3-k)/(k-3)	$\frac{3 - k}{k - 3}$
108545	Solve for x	3(x-2)^(3/4)=24	$3 {(x - 2)}^{\frac{3}{4}} = 24$
108546	Simplify	(k^2-5k+2)(k-5)	$(k^{2} - 5 k + 2) (k - 5)$
108547	Expand the Logarithmic Expression	log base 4 of (y^2)/(16x)	$\log_{4} (\frac{y^{2}}{16 x})$
108548	Simplify	k^4-3-3k^3+(-5k^4+6k^3-8k^5)	$k^{4} - 3 - 3 k^{3} + (- 5 k^{4} + 6 k^{3} - 8 k^{5})$
108549	Simplify	(ab^4)(ab^2)	$(a b^{4}) (a b^{2})$
108550	Add	(-5x^4+6x^3-43)+(6x^5-x^2+12x+12)	$(- 5 x^{4} + 6 x^{3} - 43) + (6 x^{5} - x^{2} + 12 x + 12)$
108551	Simplify	(b^2-1)(b^2+3)	$(b^{2} - 1) (b^{2} + 3)$
108552	Simplify	(a^3b^3)(ab)^-2	$(a^{3} b^{3}) {(a b)}^{- 2}$
108553	Convert to Interval Notation	\|x+2\|>6	$\| x + 2 \| > 6$
108554	Simplify	(6/5+3/5i)(2/3-1/3i)	$(\frac{6}{5} + \frac{3}{5} \cdot i) (\frac{2}{3} - \frac{1}{3} \cdot i)$
108555	Simplify	(x/4-1/3)*(x/4+1/3)	$(\frac{x}{4} - \frac{1}{3}) \cdot (\frac{x}{4} + \frac{1}{3})$
108556	Simplify	(x^2+3y)(x^2-3y)	$(x^{2} + 3 y) (x^{2} - 3 y)$
108557	Simplify	(x^2+2x-5)-(3x^2-4x+7)	$(x^{2} + 2 x - 5) - (3 x^{2} - 4 x + 7)$
108558	Simplify	(x^2+6x+9)(3x-1)	$(x^{2} + 6 x + 9) (3 x - 1)$
108559	Find the Center and Radius	x^2+(y-10)^2=100	$x^{2} + {(y - 10)}^{2} = 100$
108560	Simplify	(x^2+z)(x^3-xz)	$(x^{2} + z) (x^{3} - x z)$
108561	Solve for x	y=2/x	$y = \frac{2}{x}$
108562	Find the Vertex	y=-4x^2-16x-11	$y = - 4 x^{2} - 16 x - 11$
108563	Solve for h	4h+9=3+(-h+46)	$4 h + 9 = 3 + (- h + 46)$
108564	Solve for x	y=3/4x^2	$y = \frac{3}{4} x^{2}$
108565	Write in Exponential Form	log base 14 of 196=2	$\log_{14} (196) = 2$
108566	Solve for d	c=pid	$c = π d$
108567	Solve for y	15y-9<36	$15 y - 9 < 36$
108568	Write in Exponential Form	log base 8 of 4=2/3	$\log_{8} (4) = \frac{2}{3}$
108569	Multiply	36*2	$36 \cdot 2$
108570	Solve for x	y=-1/4x^2	$y = - \frac{1}{4} x^{2}$
108571	Solve for x	y=1/4x-2	$y = \frac{1}{4} x - 2$
108572	Add	(-8x-12)+(9x+4)	$(- 8 x - 12) + (9 x + 4)$
108573	Solve for x	y=\|x\|	$y = \| x \|$
108574	Solve for x	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
108575	Find the Asymptotes	f(x)=20/(1+9e^(3x))	$f (x) = \frac{20}{1 + 9 e^{3 x}}$
108576	Simplify	( square root of x+2)( square root of x-3)	$(\sqrt{x} + 2) (\sqrt{x} - 3)$
108577	Solve by Substitution	y=2x^2-6x+3 , y=5x-2	$y = 2 x^{2} - 6 x + 3$ , $y = 5 x - 2$
108578	Write as a Single Logarithm	log base 7 of x+ log base 7 of y- log base 7 of z	$\log_{7} (x) + \log_{7} (y) - \log_{7} (z)$
108579	Solve for x	y=9x	$y = 9 x$
108580	Find the Vertex	f(x)=1/4*(x+2)^2-9	$f (x) = \frac{1}{4} \cdot {(x + 2)}^{2} - 9$
108581	Solve Using the Quadratic Formula	x^2+4x-9=x+1	$x^{2} + 4 x - 9 = x + 1$
108582	Factor	25c^2-20c+4	$25 c^{2} - 20 c + 4$
108583	Find the Degree	8m^2n^4	$8 m^{2} n^{4}$
108584	Graph	\|x\|+5	$\| x \| + 5$
108585	Add	1225+144	$1225 + 144$
108586	Graph	f(x)=3x^2-3x-6	$f (x) = 3 x^{2} - 3 x - 6$
108587	Graph	-2x-3y=-7	$- 2 x - 3 y = - 7$
108588	Solve for y	2y^2+10y=-7	$2 y^{2} + 10 y = - 7$
108589	Subtract	(y^2-3y-5)-(-y^2-7y+4)	$(y^{2} - 3 y - 5) - (- y^{2} - 7 y + 4)$
108590	Solve for x	12^(4x)=7	$12^{4 x} = 7$
108591	Solve for x	2(x-5)+4=30	$2 (x - 5) + 4 = 30$
108592	Convert to Interval Notation	-5x<=15	$- 5 x \leq 15$
108593	Simplify	7/( square root of 3)	$\frac{7}{\sqrt{3}}$
108594	Simplify	(n+7)(n-2)	$(n + 7) (n - 2)$
108595	Simplify	- square root of -18	$- \sqrt{- 18}$
108596	Simplify	-2 square root of 250	$- 2 \sqrt{250}$
108597	Factor	p^4+p^2+p-k	$p^{4} + p^{2} + p - k$
108598	Add	(3x^2)/(x-8)+(6x)/(x-8)	$\frac{3 x^{2}}{x - 8} + \frac{6 x}{x - 8}$
108599	Write in Exponential Form	log base 4 of 1=0	$\log_{4} (1) = 0$
108600	Expand the Logarithmic Expression	natural log of square root of z	$\ln (\sqrt{z})$