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Popular >

expand (3a-b)^3

Solution

expand

(3 a - b)^{3}

Solution

27 a^{3} - 27 a^{2} b + 9 a b^{2} - b^{3}

Solution steps

(3 a - b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 a)^{3} - 3 (3 a)^{2} b + 3 \cdot 3 a b^{2} - b^{3} : 27 a^{3} - 27 a^{2} b + 9 a b^{2} - b^{3}

= 27 a^{3} - 27 a^{2} b + 9 a b^{2} - b^{3}

Popular Examples

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\frac{( 45 x ^{3} - 30 x ^{2} - 25 x )}{( - 5 x )}

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(\frac{2 x + 1}{2 x})^{3}

Frequently Asked Questions (FAQ)

What is expand (3a-b)^3 ?
The solution to expand (3a-b)^3 is 27a^3-27a^2b+9ab^2-b^3