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Ainat [17]
3 years ago
5

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

Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0

Answer:

2x^{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

= 2x^{4} - 14x² + 9x² - 63 ← collect like terms

= 2x^{4} - 5x² - 63

Mashutka [201]3 years ago
6 0

Answer:

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

Step-by-step explanation:

Solve the following expression:

(2x^{2} + 9) (x^{2} - 7)

-Use <u>Distributive Property</u>:

(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.

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