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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) + cc

Simplify

aa + a (- b) + a c - ba - b (- b) - b c + c a + c (- b) + cc : 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