Answer:
(7x + 5)(- x - 11)
Explanation:
9(x - 1)² - 16(x + 2)² ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
9(x - 1)² - 16(x + 2)²
= [ 3(x - 1) ]² - [4(x + 2) ]² with a = 3(x - 1) and b = 4(x + 2)
= [ 3(x - 1) + 4(x + 2) ] [ 3(x - 1) - 4(x + 2) ] ← distribute parenthesis
= [ 3x - 3 + 4x + 8 ] [ 3x - 3 - 4x - 8 ]
= (7x + 5)(- x - 11 )