Question

Please help i keep getting this wrong

Answer 1

(5x+10y)/(x+2y)

Explanation:

Answer 2

You find greatest common factor for both the numerator part and the denominator part.

First look at numerator
5x^2 10xy

What is the greatest common factor?

5 and x

So
5x (x + 2y)

[you can multiply them back and see that you get the initial equation. Also, cant simplify x+2y any further so this is correct]

Now the denominator:
X^2 +2xy

Again, find GCF.
It is only x

So,

X(x+2y)

Now what do we have?

5x(x+2y)/ x(x+2y)

You can see that x+2y is present both in numerator snd in denaminator, so you can cancel them out.
You are left with.

5x/x

You can cancel x’s too and you are left with

5