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Popular >

expand (a-10)^3

Solution

expand

(a - 10)^{3}

Solution

a^{3} - 30 a^{2} + 300 a - 1000

Solution steps

(a - 10)^{3}

Apply Perfect Cube Formula:

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

(a - 10)^{3} = a^{3} - 3 a^{2} \cdot 10 + 3 a \cdot 1 0^{2} - 1 0^{3}

= a^{3} - 3 a^{2} \cdot 10 + 3 a \cdot 1 0^{2} - 1 0^{3}

Simplify

a^{3} - 3 a^{2} \cdot 10 + 3 a \cdot 1 0^{2} - 1 0^{3} : a^{3} - 30 a^{2} + 300 a - 1000

= a^{3} - 30 a^{2} + 300 a - 1000

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Frequently Asked Questions (FAQ)

What is expand (a-10)^3 ?
The solution to expand (a-10)^3 is a^3-30a^2+300a-1000