Answer:
6(2g - 1)(2g + 1)
Explanation:
24g² - 6 ← factor out the common factor of 6 from both terms
= 6(4g² - 1) ← 4g² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4g² - 1
= (2g)² - 1²
= (2g - 1)(2g + 1)
then
24g² - 6 = 6(2g - 1)(2g + 1) ← in factored form