Question

Choose the correct simplification of 8x2(5x + 2x2 − 3).

Answer 1

Answer: 16x⁴ + 40x³ − 24x²

Explanation:
$8x^2(5x + 2x^2 - 3) = 16x^4 + 40x^3 - 24x^2$

Answer 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 $8x^2$ which is outside the bracket.

Thus, we get:

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

$= 40x^3+16x^4-24x^2$

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.