What is expand (a+b)(2a+3b)(2x-y) ?

The solution to expand (a+b)(2a+3b)(2x-y) is 4xa^2-2a^2y+10abx-5aby+6xb^2-3yb^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a+b)(2a+3b)(2x-y)

expand

(a + b) (2 a + 3 b) (2 x - y)

4 x a^{2} - 2 a^{2} y + 10 ab x - 5 ab y + 6 x b^{2} - 3 y b^{2}

Solution steps

(a + b) (2 a + 3 b) (2 x - y)

Expand

(a + b) (2 a + 3 b) (2 x - y) : (2 a^{2} + 5 ab + 3 b^{2}) (2 x - y)

= (2 a^{2} + 5 ab + 3 b^{2}) (2 x - y)

Distribute parentheses

= 2 a^{2} \cdot 2 x + 2 a^{2} (- y) + 5 ab \cdot 2 x + 5 ab (- y) + 3 b^{2} \cdot 2 x + 3 b^{2} (- y)

Simplify

2 a^{2} \cdot 2 x + 2 a^{2} (- y) + 5 ab \cdot 2 x + 5 ab (- y) + 3 b^{2} \cdot 2 x + 3 b^{2} (- y) : 4 x a^{2} - 2 a^{2} y + 10 ab x - 5 ab y + 6 x b^{2} - 3 y b^{2}

= 4 x a^{2} - 2 a^{2} y + 10 ab x - 5 ab y + 6 x b^{2} - 3 y b^{2}

\frac{3}{14}

7 (x + 3)

\frac{10}{22}

\frac{9 x ^{8} y ^{4}}{3 x ^{7} y ^{6}}

\frac{3}{2 2 \cdot 3}

What is expand (a+b)(2a+3b)(2x-y) ?
The solution to expand (a+b)(2a+3b)(2x-y) is 4xa^2-2a^2y+10abx-5aby+6xb^2-3yb^2