Question

1. $75x^2 - 3$

Explanation:

Step1: Factor out GCF

Factor 3 from the expression:
$3(25x^2 - 1)$

Step2: Recognize difference of squares

Rewrite $25x^2 -1$ as $(5x)^2 - 1^2$, then apply $a^2-b^2=(a-b)(a+b)$:
$3(5x - 1)(5x + 1)$

Answer:

$3(5x - 1)(5x + 1)$