Question

Simplify (a + b + c)^2 – (a – b + c)^2​

Answer 1

Answer:

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

Answer 2

Step-by-step explanation:

Apply the formula a²-b²=(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-1)}

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

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

=4ab+4bc