What is simplify-a^2+2ab+(a-b)^2 ?

The solution to simplify-a^2+2ab+(a-b)^2 is b^2

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simplify-a^2+2ab+(a-b)^2

simplify

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

b^{2}

Solution steps

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

Expand

(a - b)^{2} : a^{2} - 2 ab + b^{2}

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

Group like terms

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

Add similar elements:

- a^{2} + a^{2} = 0

= 2 ab - 2 ab + b^{2}

Add similar elements:

2 ab - 2 ab = 0

= b^{2}

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What is simplify-a^2+2ab+(a-b)^2 ?
The solution to simplify-a^2+2ab+(a-b)^2 is b^2