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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 + ab + a c + ba + bb + b c + c a + c b + cc

Simplify

aa + ab + a c + ba + bb + 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