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Popular >

expand (A+B+C)^2

Solution

expand

(A + B + C)^{2}

Solution

A^{2} + 2 A B + 2 A C + B^{2} + 2 BC + 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 + B A + BB + BC + C A + CB + CC

Simplify

AA + A B + A C + B A + BB + BC + C A + CB + CC : A^{2} + 2 A B + 2 A C + B^{2} + 2 BC + C^{2}

= A^{2} + 2 A B + 2 A C + B^{2} + 2 BC + 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