What is expand (a+4b)^3 ?

The solution to expand (a+4b)^3 is a^3+12a^2b+48ab^2+64b^3

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expand (a+4b)^3

expand

(a + 4 b)^{3}

a^{3} + 12 a^{2} b + 48 a b^{2} + 64 b^{3}

Solution steps

(a + 4 b)^{3}

Apply Perfect Cube Formula:

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

(a + 4 b)^{3} = a^{3} + 3 a^{2} \cdot 4 b + 3 a (4 b)^{2} + (4 b)^{3}

= a^{3} + 3 a^{2} \cdot 4 b + 3 a (4 b)^{2} + (4 b)^{3}

Simplify

a^{3} + 3 a^{2} \cdot 4 b + 3 a (4 b)^{2} + (4 b)^{3} : a^{3} + 12 a^{2} b + 48 a b^{2} + 64 b^{3}

= a^{3} + 12 a^{2} b + 48 a b^{2} + 64 b^{3}

4.123 a (- 2 a - 2 a) + 20 b

f (x) x - 1

\frac{s}{2 + 3}

2^{2} x - (1_{4}^{x})^{2} + 3

(2^{2} x^{2})^{2}

What is expand (a+4b)^3 ?
The solution to expand (a+4b)^3 is a^3+12a^2b+48ab^2+64b^3