Question

ssion completely.
-36 + 20x^4

Explanation:

Step1: Factor out the GCF

Identify the greatest common factor (GCF) of -36 and $20x^4$, which is 4.
$20x^4 - 36 = 4(5x^4 - 9)$

Step2: Rewrite as difference of squares

Express $5x^4 - 9$ as a difference of squares: $(\sqrt{5}x^2)^2 - 3^2$.
$5x^4 - 9 = (\sqrt{5}x^2)^2 - 3^2$

Step3: Apply difference of squares rule

Use the formula $a^2 - b^2 = (a-b)(a+b)$.
$(\sqrt{5}x^2)^2 - 3^2 = (\sqrt{5}x^2 - 3)(\sqrt{5}x^2 + 3)$

Step4: Combine all factors

Multiply the GCF with the factored terms.
$4(\sqrt{5}x^2 - 3)(\sqrt{5}x^2 + 3)$

Answer:

$4(\sqrt{5}x^2 - 3)(\sqrt{5}x^2 + 3)$