Question

Factorize​
ab(ab-bc)+bc(bc-ab)​

Answer 1

(ab - bc)^2.

Explanation:

ab(ab - bc) + bc(bc - ab)​

= ab(ab - bc) - bc(ab - bc)​

= (ab - bc)(ab - bc)

= (ab - bc)^2

Answer 2

(ab-bc)²

Explanation:

• ab(ab-bc)+bc(bc-ab)​ = ⇒ distribution
• (ab)² - ab*bc + (bc)² - ab*bc = ⇒ regrouping
• (ab)² - 2ab*bc + (bc)² = ⇒ applying (x-y)² = x² -2xy +y² formula
• (ab-bc)² ⇒ final result