10x squared plus 5x divided by 5x

Question

10x^{2 +} 5x/ 5x

Answer 1

(10x² + 5x)/5x = 10x²/5x + 5x/5x = 2x + 1

Answer 2

The first thing you need to do is factor out terms in the numerator.

 

10x + 5x = x(10 + 5)

x(10 + 5) = 5x(2 + 1)

5x(2 + 1) = 5x(3)

 

Then we have

(10x +5x)/5x = 5x(3)/5x

5x(3)/5x = 3

 

Another and easier way is that you can just evaluate the numerator.

 

10x + 5x = 15x

 

so we have

 

(10x + 5x)/5x = 15x/5x

15x/5x = 15/5 = 3