Divide.

5x/x^2+2x * 30x^2/x+2

1 answer

To divide these two expressions, first rewrite them as a multiplication of the reciprocal of the second expression:

5x/(x^2 + 2x) * 30x^2/(x + 2)

Now rewrite 30x^2 as (5 * 6 * x^2) to simplify the equation:

= 5x/(x^2 + 2x) * 5*6*x^2/(x + 2)
= 5(6*x)/(x^2 + 2x) * 5x*(x + 2)/(x + 2)
= 5*(6x^2)/(x^2 + 2x) * 5*x*(x + 2)/(x + 2)
= 30x^2(x + 2)/(x^2 + 2x)(x + 2)
= 30x^2(x + 2)/(x(x + 2))

Therefore, the result of dividing the two expressions is 30x.