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Popular >

expand (a+b+1)^2

Solution

expand

(a + b + 1)^{2}

Solution

a^{2} + 2 ab + 2 a + b^{2} + 2 b + 1

Solution steps

(a + b + 1)^{2}

Apply exponent rule:

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

(a + b + 1)^{2} = (a + b + 1) (a + b + 1)

= (a + b + 1) (a + b + 1)

Distribute parentheses

= aa + ab + a \cdot 1 + ba + bb + b \cdot 1 + 1 \cdot a + 1 \cdot b + 1 \cdot 1

Simplify

aa + ab + a \cdot 1 + ba + bb + b \cdot 1 + 1 \cdot a + 1 \cdot b + 1 \cdot 1 : a^{2} + 2 ab + 2 a + b^{2} + 2 b + 1

= a^{2} + 2 ab + 2 a + b^{2} + 2 b + 1

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Frequently Asked Questions (FAQ)

What is expand (a+b+1)^2 ?
The solution to expand (a+b+1)^2 is a^2+2ab+2a+b^2+2b+1