Question

(a+b)^2-a^2+b^2 factorise

Answer 1

Answer:

2b(a+b)

Step-by-step explanation:

(a+b)²-a²+b²=a²+2ab+b²-a²+b²=2ab+2b²=2b(a+b)

Answer 2

Answer:

the factorisation is : 2b(b+a)

Step-by-step explanation:

(a+b)²-a²+b² = (a+b)²+(b²- a²)

                      = (b+a)²+(b - a)(b +a)....because : a+b =b+a and : b²- a²=(b - a)(b +a).

the factor is : b+a

(a+b)²-a²+b² = (b+a)((b+a)+(b-a))

(a+b)²-a²+b² = (b+a)(2b)

the factorisation is : 2b(b+a)