Question

Simplify the following (a+b)^2+(a-b)^2​

Answer 1

Answer:

(

+

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2

+

(

−

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2

\left(a+b\right)^{2}+(a-b)^{2}

(a+b)2+(a−b)2

(

+

)

(

+

)

+

(

−

)

2

Answer 2

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

$= {a}^{2} + {b}^{2} + \cancel{ 2ab} + {a}^{2} + {b}^{2} - \cancel{ 2ab}$

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