What is expand (2x+3y)(5x^2+15xy-25y^2) ?

The solution to expand (2x+3y)(5x^2+15xy-25y^2) is 10x^3+45x^2y-5xy^2-75y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x+3y)(5x^2+15xy-25y^2)

expand

(2 x + 3 y) (5 x^{2} + 15 x y - 25 y^{2})

10 x^{3} + 45 x^{2} y - 5 x y^{2} - 75 y^{3}

Solution steps

(2 x + 3 y) (5 x^{2} + 15 x y - 25 y^{2})

Distribute parentheses

= 2 x \cdot 5 x^{2} + 2 x \cdot 15 x y + 2 x (- 25 y^{2}) + 3 y \cdot 5 x^{2} + 3 y \cdot 15 x y + 3 y (- 25 y^{2})

Simplify

2 x \cdot 5 x^{2} + 2 x \cdot 15 x y + 2 x (- 25 y^{2}) + 3 y \cdot 5 x^{2} + 3 y \cdot 15 x y + 3 y (- 25 y^{2}) : 10 x^{3} + 45 x^{2} y - 5 x y^{2} - 75 y^{3}

= 10 x^{3} + 45 x^{2} y - 5 x y^{2} - 75 y^{3}

(x + 10) (x - 7)

(3 x^{2} - x) (5 x + 4)

(i^{1069} - 2)^{- 1}

2 (n + 2 n - 5)

a^{2} - 22 a + 121

What is expand (2x+3y)(5x^2+15xy-25y^2) ?
The solution to expand (2x+3y)(5x^2+15xy-25y^2) is 10x^3+45x^2y-5xy^2-75y^3