en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand-5x^2y*(-3)xy

Solution

expand

- 5 x^{2} y \cdot (- 3) x y

Solution

15 x^{3} y^{2}

Solution steps

- 5 x^{2} y (- 3) x y

Apply rule

- (- a) = a

= 5 x^{2} y \cdot 3 x y

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{2} x yy

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x = x^{2 + 1}

= 15 y x^{2 + 1} y

Add the numbers:

2 + 1 = 3

= 15 y x^{3} y

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

yy = y^{1 + 1}

= 15 x^{3} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 15 x^{3} y^{2}

Popular Examples

expand (x+iy)^3 expand

(x + i y)^{3}

expand (3x-x^3)(-7x+pi)+e^9x expand

(3 x - x^{3}) (- 7 x + π) + e^{9} x

simplify (6-sqrt(x))*(6+sqrt(x))simplify

(6 - x) \cdot (6 + x)

expand (x+2)^4(1+1/(x^2))expand

(x + 2)^{4} (1 + \frac{1}{x ^{2}})

expand 4/7+5/14 expand

\frac{4}{7} + \frac{5}{14}

Frequently Asked Questions (FAQ)

What is expand-5x^2y*(-3)xy ?
The solution to expand-5x^2y*(-3)xy is 15x^3y^2