Question

18x3 + 6x2y - 9x2 - 3xy factor completely

Answer 1

Answer:

$\sf 3x(3x+y)(2x-1)$

Step-by-step explanation:

Given expression:

$\sf 18x^3 + 6x^2y - 9x^2 - 3xy$

Factor out common term $\sf 3x$:

$\sf \implies 3x(6x^2 + 2xy - 3x - y)$

Factor $\sf (6x^2 + 2xy - 3x - y)$

Rearrange:

$\sf \implies 6x^2 - 3x+ 2xy - y$

Factor pairs of terms:

$\sf \implies 3x(2x-1)+ y(2x - 1)$

Factor out common term (2x - 1):

$\sf \implies (3x+y)(2x-1)$

Final solution:

$\sf \implies 3x(3x+y)(2x-1)$