Question

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

16x4 − 40x3 + 24x2
16x4 + 40x3 − 24x2
40x4 + 16x3 − 5x2
40x4 − 10x3 + 5x2

Answer 1

Answer: 16x⁴ + 40x³ − 24x²

Step-by-step 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* 5x^(2+1)+8* 2x^(2+2)-8* 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.