Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 first, he combined like terms in the numerator and kept the common denominator. x2+x−4x2+3x+2 next, he simplified the expression by canceling the like term, x2. his final, simplified answer was: x−43x+2 did micah add the expressions correctly? explain your answer using complete sentences.

Micah was asked to add the following expressions:

First, he combined like terms in the numerator and kept the common denominator

First step is correct. He added the like terms in the numerator, because the denominators are same.

So he got ,

In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2  are added with x^2

If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.

So Micah added the expression incorrectly. Final answer is not correct.