Question

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

Answer 1

Answer:

2$x^{4}$ - 5x² - 63

Step-by-step 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

Answer 2

Answer:

$\boxed {2x^{4} - 5x^{2} - 63}$

Step-by-step 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 $2x^{4} - 5x^{2} - 63$.