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Question
Product of 6a2 – 7b + 5ab and 2ab is ______.
Options
12a3b – 14ab2 + 10ab
12a3b – 14ab2 + 10a2b2
6a2 – 7b + 7ab
12a2b – 7ab2 + 10ab
Solution
Product of 6a2 – 7b + 5ab and 2ab is 12a3b – 14ab2 + 10a2b2.
Explanation:
Required product = 2ab × (6a2 – 7b + 5ab)
This is the product of a trinomial by a monomial, so we multiply monomial with each term of the trinomial.
∴ 2ab × (6a2 – 7b + 5ab) = 2ab × 6a2 + 2ab(–7b) + 2ab × 5ab
= 12a3b – 14ab2 + 10a2b2
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