Question

`(a + b) {}^(2)`
Expand this expression.​

Answer 1

Hi!

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`\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup`

a^2+2ab+b^2

`\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup`

Remember the rule for expanding a binomial squared.

`\twoheadrightarrow\sf (a+b)^2=a^2+2ab+b^2`

So we square the first term, then multiply the product of the two terms times 2.

`\twoheadrightarrow\sf a^2+2ab+b^2`

This is our answer.

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Hope that this helped! Best wishes.

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Answer 2

`{a}^(2) + 2ab + {b}^(2)`

Explanation:

`(a + b) {}^(2) = (a + b)(a + b) = {a}^(2) + ab + ab + {b}^(2) = {a}^(2) + 2ab + {b}^(2)`