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Popular >

expand (3+a+b)^2

Solution

expand

(3 + a + b)^{2}

Solution

a^{2} + 6 a + 6 b + 2 ab + b^{2} + 9

Solution steps

(3 + a + b)^{2}

Apply exponent rule:

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

(3 + a + b)^{2} = (3 + a + b) (3 + a + b)

= (3 + a + b) (3 + a + b)

Distribute parentheses

= 3 \cdot 3 + 3 a + 3 b + a \cdot 3 + aa + ab + b \cdot 3 + ba + bb

Simplify

3 \cdot 3 + 3 a + 3 b + a \cdot 3 + aa + ab + b \cdot 3 + ba + bb : a^{2} + 6 a + 6 b + 2 ab + b^{2} + 9

= a^{2} + 6 a + 6 b + 2 ab + b^{2} + 9

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Frequently Asked Questions (FAQ)

What is expand (3+a+b)^2 ?
The solution to expand (3+a+b)^2 is a^2+6a+6b+2ab+b^2+9