Question

6a − 3a2 − 2ab + a2b

Answer 1

a(a — 2)(b — 3)
a(a(b — 3) — 2b + 6)
(a — 2) ab + (6 — 3a) a

Step-by-step explanation
Step 1.
simplify the following:
a²b — 2ab — 3a² + 6a

Step 2.
Factor a out of a²b — 2ab — 3a² + 6a:
a(ab — 2b — 3a + 6)

Step 3.
Factor terms by grouping. ab — 2b — 3a + 6 = (ab — 2b) + (6 — 3a) = b(a — 2) — 3 (a — 2):
ab(a — 2) — 3(a — 2)

Step 4.
Factor a - 2 from b(a — 2) — 3(a — 2):
a(a — 2)(b — 3)

Hope this helps !.