Question

What is the correct answer to number 9? Please explain step by step.

Answer 1

The answer to your question is Momentum =
`((x + 2)^(2))/(x - 3)`

Explanation:

Data

mass =
`(x^(2)+ 4x + 4 )/(x^(2)- 9)`

velocity =
`(x^(2)+ 5x + 6)/(x + 2)`

Formula

Momentum = mass x velocity

Substitution

Momentum =
`(x^(2)+ 4x + 4)/(x^(2)- 9) (x^(2) + 5x + 6)/(x + 2)`

Factor The first numerator is a perfect square trinomial and the second one is a trinomial of the form x² + bx + c.

Momentum =
`((x + 2)^(2))/((x - 3)(x + 3)) ((x + 2)(x + 3))/(x + 2)`

Simplify and result

Momentum =
`((x + 2)^(2))/(x - 3)` or
`(x^(2) + 4x + 4)/(x - 3)`