Question

question
factor the expression completely.
$40x^2 - 48$

Explanation:

Step1: Find the GCF of 40 and 48

The greatest common factor (GCF) of 40 and 48 is 8. So we factor out 8 from the expression.
$$40x^{2}-48 = 8(5x^{2}-6)$$

Step2: Check if \(5x^{2}-6\) can be factored further

The expression \(5x^{2}-6\) is a difference of terms where \(5x^{2}\) is not a perfect square in the context of integer - coefficient factoring (since 5 is not a perfect square and there are no common factors between 5 and 6 other than 1). So the factoring is complete.

Answer:

\(8(5x^{2}-6)\)