Factor the expression completely. -9+45x^3 square

Question

Answer 1

To factor the expression

completely, we first look for the greatest common factor (GCF) of the terms.The terms are

and

. The GCF of

and

is

, and since the first term is negative, we factor out

:

Next, we need to factor

. This is a difference of cubes, which can be factored using the formula:

In this case,

and

. Applying the formula:

Simplifying the terms inside the parentheses:

Thus, the completely factored form of the expression

is:

So, the final answer is:

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