Question

Simplify the expression: (4x³ - 5)(2x³ + 7x - 1)

O 8x6 + 7x + 5
O 8x⁹ + 7x + 5
O 8x6 + 28x4 - 14x³ - 35x + 5
O 8x⁹ +42x³ + 35x -5

Answer 1

Answer
C. 8x6+28x4-14x3-35x+5

Answer 2

Answer:
`8x^6+28x^4-14x^3-35x+5` , which is the third option for you! :)

Explanation:

Our problem:
`(4x^3-5)(2x^3+7x-1)`

1. Expand by distributing sum groups

`4x^3(2x^3+7x-1)-5(2x^3+7x-1)`

2. Expand by distributing terms

`8x^6+28x^4-4x^3-(10x+35x-5)`

3. Remove parenthesis

`8x^6+28x^4-4x^3-10x^3-35x+5`

4. Collect like terms

`8x^6+28x^4+(-4x^3-10x^3)-35x+5`

5. Simplify!

`8x^6+28x^4-14x^3-35x+5`