Question

(a+b+c)**2+(a-b+c)**2​

Answer 1

Apply the formula a

2

−b

2

=(a+b)(a−b) to simplify the given expression.

(a+b+c)

2

−(a−b+c)

2

=(a+b+c+a−b+c){a+b+c−(a−b+c)}

=(2a+2c)(a+b+c−a+b−c)

=(2a+2c)(2b)

=4ab+4bc