I need help on Grade 11 math.

[needshelp]

I need to simplify 2xsquared-5xy+2ysquared / ysquared-3xy+2xsquared and state the restrictions. If anyone could help me it would be greatly appreciated.

Thanks.

 

[stapel]

You have posted:

. . . . .2x² - 5xy + (2y²)/(y² - 3xy + 2x²

...but I suspect you actually mean:

. . . . .(2x² - 5xy + 2y²) / (y² - 3xy + 2x²)

If so, then you need to factor the numerator and denominator, and then cancel the common factor.

Do you know how to factor quadratics?

Thank you.

Eliz.

 

[soroban]

Hello, needshelp!

Simplify: .\(\displaystyle \displaystyle{\frac{2x^2\,-\,5xy\,+\,2y^2}{y^2\,-\,3xy\,+\,2x^2}\) and state the restrictions.

We have: .$\displaystyle \displaystyle{\frac{2x^2\,-\,5xy\,+\,2y^2}{2x^2\,-\,3xy\,+\,y^2}}$

Factor: .$\displaystyle \displaystyle{\frac{(2x\,-\,y)(x\,-\,2y)}{(2x\,-\,y)(x\,-\,y)}}$

Cancel: .$\displaystyle \displaystyle{\frac{x\,-\,2y}{x\,-\,y} }$ . . . providing $\displaystyle 2x - y\ \neq\ 0$

 

[needshelp]

thanks for the help!