Factorizeab(ab-bc)+bc(bc-ab)

Mathematics

2 answers:

EleoNora [17]3 years ago

6 0

Answer:

(ab - bc)^2.

Step-by-step explanation:

ab(ab - bc) + bc(bc - ab)

= ab(ab - bc) - bc(ab - bc)

= (ab - bc)(ab - bc)

= (ab - bc)^2

Bond [772]3 years ago

5 0

Answer:

(ab-bc)²

Step-by-step 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

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