Question

factorise (x+y) (a+b) +(x-y) (a+b)

Answer 1

Answer:

Answer:

Step-by-step explanation:

Step 1: From the algebraic expression arrange the groups of the given expression in such a way, that a common factor can be taken out from each group.

Step 2: Factorize each group.

Step 3: Now take out the common factor of the groups formed.

Solution:

ab(x2 + y2) - xy(a2 + b2)

By suitably rearranging the terms, we have;

= abx2 + aby2 - a2xy - b2xy

= abx2 - a2xy - b2xy + aby2

= ax(bx - ay) - by(bx - ay)

= (bx - ay) (ax - by)

Answer 2

Answer: 2x(a+b) is the correct answer