Question

Simplify and factorize (a + b + c)2
- (a - b - c) 2+ 4b2
- 4c2
.

Answer 1

Answer:

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

Step-by-step explanation:

(a+b+c)²-(a-b-c)²+4b²-4c²

[using x²-y²=(x+y)(x-y)]

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

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

[taking (2b+2c) common]

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

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

Hope it helps you...

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