Question

The factors of (a-b)x + (a-b)y​

Answer 1

Answer:

(xa+b)(a+bx)(xa+b)(a+bx)

Step-by-step explanation:

The given equation is:

ab(x^2+1)+x(a^2+b^2)ab(x

2

+1)+x(a

2

+b

2

)

=abx^2+ab+xa^2+xb^2abx

2

+ab+xa

2

+xb

2

=xa^2+xb^2+abx^2+abxa

2

+xb

2

+abx

2

+ab

=xa^2+abx^2+xb^2+abxa

2

+abx

2

+xb

2

+ab

=xa(a+bx)+b(xb+a)xa(a+bx)+b(xb+a)

=(xa+b)(a+bx)(xa+b)(a+bx)

which is the required factorized form of the given equation.