(x2−4)(x2+6x+9) Factor

Jasonbradley

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Jun 17, 2024

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Factoring (x² - 4)(x² + 6x + 9)

This expression involves factoring two separate quadratic expressions. Let's break it down step by step:

Factoring (x² - 4)

This is a difference of squares. We can factor it as:

(x² - 4) = (x - 2)(x + 2)

Factoring (x² + 6x + 9)

This is a perfect square trinomial. We can factor it as:

(x² + 6x + 9) = (x + 3)²

Combining the Factors

Now, we can substitute the factored expressions back into the original expression:

(x² - 4)(x² + 6x + 9) = (x - 2)(x + 2)(x + 3)²

Therefore, the completely factored form of (x² - 4)(x² + 6x + 9) is (x - 2)(x + 2)(x + 3)².