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Popular >

expand (a-b-c)^2

Solution

expand

(a - b - c)^{2}

Solution

a^{2} - 2 ab - 2 a c + b^{2} + 2 b c + c^{2}

Solution steps

(a - b - c)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a - b - c)^{2} = (a - b - c) (a - b - c)

= (a - b - c) (a - b - c)

Distribute parentheses

= aa + a (- b) + a (- c) - ba - b (- b) - b (- c) - c a - c (- b) - c (- c)

Simplify

aa + a (- b) + a (- c) - ba - b (- b) - b (- c) - c a - c (- b) - c (- c) : a^{2} - 2 ab - 2 a c + b^{2} + 2 b c + c^{2}

= a^{2} - 2 ab - 2 a c + b^{2} + 2 b c + c^{2}

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Frequently Asked Questions (FAQ)

What is expand (a-b-c)^2 ?
The solution to expand (a-b-c)^2 is a^2-2ab-2ac+b^2+2bc+c^2