Question

Resolve into factors: (x² - ab) + (a - b)x

please provide a step by step explanation.​

Answer 1

Step-by-step explanation:

Question:

(x² - ab) + (a - b)x

Solution:

= (x² - ab) + (ax - bx )

= x²( ax - bx) - ab( ax - bx)

= ax³ - bx³ - a²bx - ab²x

= ax³ - a²bx -bx³ - ab²x

= ax( x² - ab) - bx( x²- ab)

= ( x² - ab) (ax -bx)