# SOLUTION: Tutor could I please get your help? My problem is: how do I simplify this expression: 3y^2+5yz+2z^2 over 2y^2+3yz+z^2 Thank you!

Algebra ->  Algebra  -> Expressions -> SOLUTION: Tutor could I please get your help? My problem is: how do I simplify this expression: 3y^2+5yz+2z^2 over 2y^2+3yz+z^2 Thank you!      Log On

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 Question 86982: Tutor could I please get your help? My problem is: how do I simplify this expression: 3y^2+5yz+2z^2 over 2y^2+3yz+z^2 Thank you!Found 2 solutions by Earlsdon, stanbon:Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!Simplify: Factor the numerator and the denominator. Cancel the indicated like-factors. Simplified! Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!simplify this expression: 3y^2+5yz+2z^2 over 2y^2+3yz+z^2 ------------------- [3y^2+5yz+2z^2] / [2y^2+3yz+z^2] = [3y2+3yz+2yz+z^2] / [2y^2+2yz+yz+z^2] = [3y(y+z)+2z(y+z)] / [2y(y+z)+z(y+z)] = [(y+z)(3y+2z)] / [(y+z)(2y+z)] =(3y+2z) / (2y+z) ======================== Cheers, Stan H.