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Factorisation Using Algebraic Identities

State whether...

Question

State whether True or False.
Multiply: $2 a^{2} - 5 a - 4$ and $- 3 a$ .
The anwser is $- 6 a^{3} + 15 a^{2} + 12 a$ .

A

True

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B

False

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Solution

The correct option is A True
$(2 a^{2} - 5 a - 4) \times (- 3 a)$
$= 2 a^{2} (- 3 a) - 5 a (- 3 a) - 4 (- 3 a)$
$= 2 (- 3) a^{2 + 1} - (5) (- 3) a^{1 + 1} - 4 (- 3) a$
$= - 6 a^{3} + 15 a^{2} + 12 a$

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