MCQ
Product of $6a^2 - 7b + 5ab$ and $2ab$ is:
  • A
    $12a^3b - 14ab^2 + 10ab$
  • $12a^3b - 14ab^2 + 10a^2b^2$
  • C
    $6a^2 - 7b + 7ab$
  • D
    $12a^2b - 7ab^2 + 10ab$

Answer

Correct option: B.
$12a^3b - 14ab^2 + 10a^2b^2$
B.  $12a^3b - 14ab^2 + 10a^2b^2$
Solution:
Required product $= 2ab × (6a^2 - 7b + 5ab)$
This is the product of a trinomial by a monomial, so we multiply monomial with each term of the trinomial.
$= 2ab \times (6a^2 - 7b + 5ab) = 2ab \times 6a^2 + 2ab(-7b) + 2ab \times 5ab$
$= 12a^3b - 14ab^2 + 10a^2b^2$

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