Question

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

Answer 1

Step-by-step explanation:

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:

$(a + b + c)2 – (a – b – c)2$

$2(a + b + c) – 2(a – b – c)$

Expand...

$= > 2a + 2b + 2c - (a - b - c) \times 2$

$= > 2a + 2b + 2c - 2a + 2b + 2c$

Simplify....

$= > 4b + 4c$

$\huge{ son \: prodigal}$