Question

3a2+ 4ab + b2 - 2ac - c2​

Answer 1

Answer:

(3a+b+c)(a+b-c)

Step-by-step explanation:

3a²+ 4ab + b² - 2ac - c²

adding and subtracting  a²

3a²+a²+ 4ab + b² -a²- 2ac - c²

=4a²+ 2ab +2ab+ b² -(a²+2ac +c²)

=2a(2a+b)+b(2a+b)-(a+c)²

=(2a+b)(2a+b)-(a+c)²

=(2a+b)²-(a+c)²

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

=(3a+b+c)(2a+b-a-c)

=(3a+b+c)(a+b-c)