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{16}{28}

(3 - x^{2})^{2}

\frac{x ^{2} - x - 12}{x + 3}

3 (x - 4)^{2}

- 1 \cdot 4

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