What is expand (2x+2y)^3 ?

The solution to expand (2x+2y)^3 is 8x^3+24x^2y+24xy^2+8y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x+2y)^3

expand

(2 x + 2 y)^{3}

8 x^{3} + 24 x^{2} y + 24 x y^{2} + 8 y^{3}

Solution steps

(2 x + 2 y)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(2 x + 2 y)^{3} = (2 x)^{3} + 3 (2 x)^{2} \cdot 2 y + 3 \cdot 2 x (2 y)^{2} + (2 y)^{3}

= (2 x)^{3} + 3 (2 x)^{2} \cdot 2 y + 3 \cdot 2 x (2 y)^{2} + (2 y)^{3}

Simplify

(2 x)^{3} + 3 (2 x)^{2} \cdot 2 y + 3 \cdot 2 x (2 y)^{2} + (2 y)^{3} : 8 x^{3} + 24 x^{2} y + 24 x y^{2} + 8 y^{3}

= 8 x^{3} + 24 x^{2} y + 24 x y^{2} + 8 y^{3}

\frac{6}{9} + \frac{2}{7}

\frac{- 16}{- 2}

(x + 3 y)^{4}

2^{x + 1} - 2^{x}

(4 x - 5) (x - 3)

What is expand (2x+2y)^3 ?
The solution to expand (2x+2y)^3 is 8x^3+24x^2y+24xy^2+8y^3