Question

Simplify
(a+b+c)^2-(a-b+c)^2

Answer 1

Step-by-step explanation:

(a+b+c)^2 – (a-b-c)^2

This equation is of the form

x^2 – y^2= (x+y)(x-y)

If we apply this formula for the equation we get

(a+b+c)^2 – (a-b-c)^2

=(a+b+c+a-b-c){a+b+c-(a-b-c)}

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

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

=4ab + 4ac

HOPE IT HELPS....

Answer 2

Answer:

(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