factorise the following polynomial by grouping ab^2-ab-a^2 b+a^2
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Answer:
ab^2 - ab a^2b + a^2 = A (A - b) (1- B)
Step-by-step explanation:
ab^2 - ab - a^2b + a^2 = (ab^2 - a^2b) + (a^2 - ab)
= ab(b - a) + a(A - b)
= - ab(A - b) + A(A - b)
= (a - b) (a - ab)
= (a- b)A(1- B)
= A( A - b) ( 1 - B)
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