Factor and Simplify

Question

Factor and Simplify 5x² + 10x / 2x +4

Answer 1

1) (5x^2)+10x)) / (2x +4)

 

2) (5x^2)+10x)) --> (5x^2) and 10x have are both divisible by 5x. Therefore, we can factor out 5x and obtain 5x(x+2).

 

3) (2x +4) --> 2x and 4 are both divisiable by 2. Therefore, we can factor out the 2 and obtain 2(x+2).

 

4) We can now simplify (5x^2)+10x)) / (2x +4) as....5x(x+2) / 2(x+2)

 

5) Since (x+2) is a factor that is both in the numerator and the denominator, we can cancel them out. Therefore, we are left with 5x / 2. 

 

Answer: 5x / 2