Question

simplify
(a + b +c)²-(a-b-c)²​

Answer 1

Let (a+b+c) =p

And (a-b-c) =q hence

(a+b+c)^2-(a-b-c)^2 = p^2-q^2

= (p+q) (p-q)

Hence

(a+b+c+a-b-c) (a+b+c-a+b+c)

= 2a*2(b+c)

=4a(b+c)

Answer 2

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

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

$+4bc$