Question

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

Answer 1

Answer:

I feel it's is helpful for u

Answer 2

Answer:

4a(b+c)

Step-by-step explanation:

formula:- (a+b)^2=a^2+b^2+2ab

so, in the question it is given that,

consider first term,

(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac=>(1).           (from the above formula)

Formula:-(a-b)^2=a^2+b^2-2ab

Consider second term,

(a-b-c)^2=a^2+b^2+c^2-2ab-2ac+2bc=>(2).            (From the second and first formulae)

now as per the given question (1)-(2)

(a^2+b^2+c^2+2ab+2ac+2bc)-(a^2+b^2+c^2-2ab-2ac+2bc)

by solving (I.e;cancellation) we get,

=>4ab+4ac

=>4a(b+c)

therefore,

(a+b+c)^2-(a-b-c)^2=4a(b+c)

HOPE THIS WOULD BE HELPFUL FOR YOU