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Popular >

expand (a-3b)^3

Solution

expand

(a - 3 b)^{3}

Solution

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

Solution steps

(a - 3 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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