SOLUTION: My question is in ref to the following: how do I simplify these: 1) 15x^2-x-2/ divided by 3x^2-5x-2 2) 14x^2y^6z^9/ divided by 7x^5y^4z^11 Thanks fo

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: My question is in ref to the following: how do I simplify these: 1) 15x^2-x-2/ divided by 3x^2-5x-2 2) 14x^2y^6z^9/ divided by 7x^5y^4z^11 Thanks fo      Log On


   



Question 86991: My question is in ref to the following:
how do I simplify these:
1) 15x^2-x-2/ divided by
3x^2-5x-2

2) 14x^2y^6z^9/ divided by
7x^5y^4z^11
Thanks for your time!
3) 3y^2+5y^2+2z^2/ divided by
2y^2+3yz+z^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify these:
1)
[15x^2-x-2] / [3x^2-5x-2]
= [(3x+1)(5x-2)] / [(3x+1)(x-2)]
= [(5x-2)/(x-2)]
==================
2)
[14x^2y^6z^9] / [7x^5y^4z^11]
= 2y^2 / x^3z^2
=================

3)
[3y^2+5y^2+2z^2] / [2y^2+3yz+z^2]
= [7y^2+2z^2] / [(2y+z)(y+z)]
==================
Cheers,
Stan H.