In two to three sentences, explain how you would factor the following expression:

45y^2z+36yz^2+18yz

9yz (5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9 (5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz (5y+4z+2)

And that's our answer.