Question

9x2+6xy+y2-6x+2y-35​

Answer 1

Answer:

$9 {x}^{2} + 6xy + {y}^{2} - 6x + 2y - 35 \\ = {(3x + y)}^{2} - 2(3x + y) - 35$

Taking (3x+y) as 'a'

${a}^{2} - 2a - 35 \\ = {a}^{2} - a(7 - 5) - 35 \\ = {a}^{2} - 7a - 5a - 35 \\ = a(a - 7) - 5(a - 7) \\ = (a - 7)(a - 5) \\ = (3x + y - 7)(3x + y - 5)$