Question

$5(3x + y) {}^{2} + 6(3x + y) - 8$
factorize ​

Answer 1

Let 3x+y = a

So the equation becomes

$5a^2 + 6a-8$

$=5a^2 + 10a - 4a - 8$

$= 5a(a + 2)-4(a+2)$

$= (5a-4)(a+2)$

$= [5(3x+y) - 4][3x+y+2]$