Question

Factorize:
1) 16x ^ 2-24xy + 9y ^ 2-4x + 3y

Pls give explanation for answer

Answer 1

$16 {x}^{2} - 24xy + 9 {y}^{2} - 4x + 3y \\ = {(4x)}^{2} - 2 \times 4x \times 3y + {(3y)}^{2} - 4x + 3y \\ = {(4x - 3y)}^{2} - 1(4x - 3y) \\ = (4x - 3y)(4x - 3y - 1)$