Question

18x3 + 6x2y - 9x2 - 3xy

factor completely

Answer 1

6x2y(3xy2 − 1)

Explanation:

i got it right on my quiz :D

Answer 2

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

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)`