Can somebody help me solve z^2/z+4-16/z+4. I really want to know how to do it so i would appreciate if someone could walk me through it! im desperate! ill give medals

Question

Can somebody help me solve  z^2/z+4-16/z+4. I really want to know how to do it so i would appreciate if someone could walk me through it! im desperate! ill give medals

anonymous · Answer

$$\frac{ Z ^{2} }{ z+4 }-\frac{ 16 }{ z+4 } $$ is the equation in a form easier to read

anonymous · Answer

@Brostep0s hey could you help me with this one too?

anonymous · Answer

@phi

anonymous · Answer

@thomaster

anonymous · Answer

@ganeshie8

anonymous · Answer

@zepdrix

zepdrix · Answer

$$\Large\rm \frac{z^2}{z+4}-\frac{16}{z+4}$$Hmmm, our fractions have the same base, so we can combine them, yes?$$\Large\rm =\frac{z^2-16}{z+4}$$

zepdrix · Answer

Here is something important that we'll need to utilize.
`The difference of squares is the product of their conjugates`.
It looks like this:$$\Large\rm a^2-b^2=(a-b)(a+b)$$Look familiar? :)

zepdrix · Answer

In our problem, we don't have two squares.
We have a z^2 and a 16.
We would like to rewrite the 16 as "something squared" so we can apply this rule.

anonymous · Answer

I totally understand the whole problem now. I feel stupid lol I was looking for something I didnt need

zepdrix · Answer

Oh good c: