Could someone check my answers

[Guest]

Hello,
I have a couple of quick ones I just wanted someone to check for me. Sometimes it seems so simple and I overlook something.

5x^2-3x=x(5x-3) True

5y^2+35y=5y(y+7) True

12xy-12xz^2=12xz(x-z) False

Simplify 3Y^2-2/3y

Answer y-2

So far so good?

 

[Daniel_Feldman]

The true or false are right. I'm not sure what you mean by the last problem. Is it 3Y^2-(2/3y) or (3y^2-2)/3y?

 

[Denis]

Simplify 3Y^2-2/3y
Answer y-2

Check that expression: sure looks fishy;
could it be: (3y^2 - 2y) / 3y ?
The way you have it can't be simplified: it can be made more complicated!

 

[Guest]

Thanks Daniel.
Hi Denis,

The entire question was given 3y^2-2 divided by 3y, the correct simplification is:
a. y-2
b.y-2/3y
c.3y-2/3y

I picked a. based on the thinking that if you divide 3y^2 by 3y, you will be left with just y and you can't divide it by 2 so that is your remainder. What do you think?

 

[Unco]

  a + b       a         b
  ------  =  ---   +   ---
    c         c         c

 

[Denis]

Hi Denis,
The entire question was given 3y^2-2 divided by 3y, the correct simplification is:
a. y-2
b.y-2/3y
c.3y-2/3y
I picked a. based on the thinking that if you divide 3y^2 by 3y, you will be left with just y and you can't divide it by 2 so that is your remainder. What do you think?

But you showed it this way: Simplify 3Y^2-2/3y
That means 3y^2 minus 2/3y : bad girl!
Start using brackets; should be shown this way: Simplify (3Y^2-2)/3y

to simplify that:
3y^2/3y - 2/3y : each term over the divisor
y - 2/3y : simplify 1st term
that's it.