Question

1. factor out the greatest common factor

$35x^{2}-63$

Explanation:

Step1: Find GCF of 35 and 63

Prime factors of 35: \(35 = 5\times7\)
Prime factors of 63: \(63 = 7\times9\)
GCF is 7.

Step2: Factor out GCF from the expression

\(35x^2 - 63 = 7\times5x^2 - 7\times9 = 7(5x^2 - 9)\)

Answer:

\(7(5x^2 - 9)\)