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Algebraic Identity 1

What is the c...

Question

What is the coefficient of $x^{3}$ in (x-3) $(x + 2)^{2}$ ?

A

3

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B

1

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C

3

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D

4

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Solution

The correct option is B
1

We use the identity $(a + b)^{2}$ = $a^{2}$ + $b^{2}$ + 2ab to expand the second term.

(x-3)( $x + 2)^{2}$ = (x-3) $(x^{2} + 4 + 4 x)$

= $x^{3} + 4 x + 4 x^{2} - 3 x^{2} - 12 - 12 x$

= $x^{3} - 8 x + x^{2} - 12$

The coefficient of $x^{3}$ in (x-3) $(x + 2)^{2}$ is 1

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then the coefficient of

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