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Popular >

expand (a-5)^3

Solution

expand

(a - 5)^{3}

Solution

a^{3} - 15 a^{2} + 75 a - 125

Solution steps

(a - 5)^{3}

Apply Perfect Cube Formula:

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

(a - 5)^{3} = a^{3} - 3 a^{2} \cdot 5 + 3 a \cdot 5^{2} - 5^{3}

= a^{3} - 3 a^{2} \cdot 5 + 3 a \cdot 5^{2} - 5^{3}

Simplify

a^{3} - 3 a^{2} \cdot 5 + 3 a \cdot 5^{2} - 5^{3} : a^{3} - 15 a^{2} + 75 a - 125

= a^{3} - 15 a^{2} + 75 a - 125

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Frequently Asked Questions (FAQ)

What is expand (a-5)^3 ?
The solution to expand (a-5)^3 is a^3-15a^2+75a-125