Question

Choose the correct simplification of 8x2(4x 2x2 − 1). (5 points) group of answer choices 32x4 − 16x3 8x2 32x4 16x3 − 8x2 16x4 − 10x3 8x2 16x4 32x3 − 8x2

Answer 1

The second option is the correct answer

$16x^{4}+40x^{3} -24x^{2}$

The expression given to us is:

$8x^{2} (5x+2x^{2}-3 )$

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

$8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}$

$40x^{3} +16x^{4}-24x^{2}$

Rearranging the above expression in descending order of power we get:

$16x^{4}+40x^{3} -24x^{2}$

From the given options we can see this is the second option. Hence the second option is the correct answer.

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