Question

a(x-y)-b(y-x)
factorize and also give proper explanation
​

Answer 1

Step-by-step explanation:

a(x-y)-b(y-x)

ax-ay-by+bx

(ax-ay) + (bx-by)

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

(a+b) (x-y)

Answer 2

Answer:

Factorizing a(x-y) - b(x-y)

= ax-ay-by-bx

= ax+bx-ay-by

= x(a-b) + y(a-b) {sign will change here.}

= (a-b) (x-y)

Hey dude!! I don't think u need more explanation in this question as the precess is understandable. First we multiplied the terms (x-y) with the 'a' outside the bracket then it becomes 'ax and ay' them same process with b(y-x)...