What is expand (2a+2b)^3 ?

The solution to expand (2a+2b)^3 is 8a^3+24a^2b+24ab^2+8b^3

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expand (2a+2b)^3

expand

(2 a + 2 b)^{3}

8 a^{3} + 24 a^{2} b + 24 a b^{2} + 8 b^{3}

Solution steps

(2 a + 2 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 a)^{3} + 3 (2 a)^{2} \cdot 2 b + 3 \cdot 2 a (2 b)^{2} + (2 b)^{3} : 8 a^{3} + 24 a^{2} b + 24 a b^{2} + 8 b^{3}

= 8 a^{3} + 24 a^{2} b + 24 a b^{2} + 8 b^{3}

\frac{5}{12 x} - \frac{3}{4}

9 x^{4} y^{7}

2 \div \frac{5}{2}

\frac{40}{5} + \frac{10}{5} - \frac{5}{5}

a^{- b}

What is expand (2a+2b)^3 ?
The solution to expand (2a+2b)^3 is 8a^3+24a^2b+24ab^2+8b^3