Question

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

Answer 1

(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

Step-by-step explanation:

Given that

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

Solution

As we know

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

hence

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

by additon and subtraction we get

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

now by multiplication

$= 4ab + 4ac$