Question

Coefficient of x2 in (x2-1) (x-2)

Answer 1

The coefficient of x² in the expansion of  (x² - 1)(x - 2) is -2.

Step-by-step explanation:

Compute the product of (x² - 1) and (x - 2) as follows:

$(x^{2}-1)(x-2)=x^{2}(x-2)-1(x-2)$

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

The coefficient of x² in the expansion of  (x² - 1)(x - 2) is -2.

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Answer 2

Compute the product of (x² - 1) and (x - 2) as follows:

(x^{2}-1)(x-2)=x^{2}(x-2)-1(x-2)(x

2

−1)(x−2)=x

2

(x−2)−1(x−2)

=x^{3}-2x^{2}-x+2=x

3

−2x

2

−x+2

The coefficient of x² in the expansion of (x² - 1)(x - 2) is -2.