Question

Simplify the expression (2x² + 9) (x² - 7)​

Answer 1

`\boxed {2x^(4) - 5x^(2) - 63}`

Explanation:

Solve the following expression:

`(2x^(2) + 9) (x^(2) - 7)`

-Use Distributive Property:

`(2x^(2) + 9) (x^(2) - 7)`

`2x^(4) - 14x^(2) + 9x^(2) - 63`

-Combine like terms:

`2x^(4) - 14x^(2) + 9x^(2) - 63`

`\boxed {2x^(4) - 5x^(2) - 63}`

Therefore, the final answer is
`2x^(4) - 5x^(2) - 63`.

Answer 2

2
`x^(4)` - 5x² - 63

Explanation:

Given

(2x² + 9)(x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

2x² (x² - 7) + 9(x² - 7) ← distribute both parenthesis

= 2
`x^(4)` - 14x² + 9x² - 63 ← collect like terms

= 2
`x^(4)` - 5x² - 63