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Popular >

expand (2+b+c)^2

Solution

expand

(2 + b + c)^{2}

Solution

b^{2} + 4 b + 4 c + 2 b c + c^{2} + 4

Solution steps

(2 + b + c)^{2}

Apply exponent rule:

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

(2 + b + c)^{2} = (2 + b + c) (2 + b + c)

= (2 + b + c) (2 + b + c)

Distribute parentheses

= 2 \cdot 2 + 2 b + 2 c + b \cdot 2 + bb + b c + c \cdot 2 + c b + cc

Simplify

2 \cdot 2 + 2 b + 2 c + b \cdot 2 + bb + b c + c \cdot 2 + c b + cc : b^{2} + 4 b + 4 c + 2 b c + c^{2} + 4

= b^{2} + 4 b + 4 c + 2 b c + c^{2} + 4

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Frequently Asked Questions (FAQ)

What is expand (2+b+c)^2 ?
The solution to expand (2+b+c)^2 is b^2+4b+4c+2bc+c^2+4