Factor and Simplify

Question

Factor and Simplify 5x^{2 + 10x / 2x + 4}

Answer 1

5x^{(2 + 10x) / (2x + 4)}

 

Take out the GCF of the numerator and denominator.

 

 

5x^{[2(1 + 5x)] / [2(x + 2)]}

 

5x^{(1+5x) / (x + 2)}

 

Answer 2

(2 + 10x) / (2x + 4)

2(1 + 5x) / 2(x + 2)

 

Since both terms have a 2. we can cancel them out giving us:

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