How do you simplify #(2)/(x^2+1)*(3)/(2x)#?

1 Answer
Apr 27, 2018

Answer:

#3/(x^3+x)#

Explanation:

When multiplying fractions just multiply the numerators to get your new numerator and multiply the denominators to get your new denominator.

Numerator:

#2 *3=6#

Denominator:

#(x^2+1)*2x#

#=>2x(x^2+1)#

Distribute

#2x*x^2+2x*1#

#=>2x^3+2x#

Result fraction

#6/(2x^3+2x)#

Factor a #2# out of the denominator

#6/(2(2/2x^3+2/2x))#

#6/(2(x^3+x))#

Simplify

#3/(x^3+x)#