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

The solution to expand (3a+2b)^3 is 27a^3+54a^2b+36ab^2+8b^3

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expand (3a+2b)^3

expand

(3 a + 2 b)^{3}

27 a^{3} + 54 a^{2} b + 36 a b^{2} + 8 b^{3}

Solution steps

(3 a + 2 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 a)^{3} + 3 (3 a)^{2} \cdot 2 b + 3 \cdot 3 a (2 b)^{2} + (2 b)^{3} : 27 a^{3} + 54 a^{2} b + 36 a b^{2} + 8 b^{3}

= 27 a^{3} + 54 a^{2} b + 36 a b^{2} + 8 b^{3}

\frac{7}{x} - \frac{5}{x + 2}

(2 i)^{6}

\frac{x + 3}{x + 3}

1 6^{1}

What is expand (3a+2b)^3 ?
The solution to expand (3a+2b)^3 is 27a^3+54a^2b+36ab^2+8b^3