Question

Simplify (9k^6 + 8k^4 - 6k^2) (4k^2 - 5)

Answer 1

The answer to that is 2.5,-6.5

Answer 2

`36k^8 - 13k^6-64k^4-30k^2`

Explanation:

Given expression,

`(9k^6 + 8k^4 - 6k^2) (4k^2 - 5)`

By distributive property,

`(9k^6 + 8k^4 - 6k^2) (4k^2) - (9k^6 + 8k^4 - 6k^2)(5)`

Again by distributive property,

`9k^6(4k^2) + 8k^4(4k^2) - 6k^2(4k^2) - 9k^6(5) + 8k^4(5)- 6k^2(5)`

`36k^6k^2 + 32k^4k^2 - 24k^2k^2 - 45k^6 - 40k^4- 30k^2`

By the product rule of exponent,

`36k^(6+2) + 32k^(4+2) - 24k^(2+2) - 45k^6 - 40k^4- 30k^2`

`36k^8 + 32k^6 - 24k^4 - 45k^6 - 40k^4- 30k^2`

By combining like terms,

`36k^8 - 13k^6-64k^4-30k^2`

Since, further simplification is not possible hence, it is the required simplified answer.