Question

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

Answer 1

The answer to that is 2.5,-6.5

Answer 2

Answer:

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

Step-by-step 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.