Answer
It makes sense
Work Step by Step
The first addition is solved in $3$ steps:
1) Place the sum over the common denominator
$$E_1=\dfrac{2x^3+11x^2+5x^3+4x^2}{x+3}.$$
2) Reduce like terms:
$$E_1=\dfrac{7x^3+15x^2}{x+3}.$$
3) Factor the numerator:
$$E_1=\dfrac{x^2(7x+15)}{x+3}.$$
The second addition is solved in $5$ steps:
1) Determine the Least Common Denominator:
$$LCD=(x+3)(x-3).$$
2) Multiply the first fraction by $\dfrac{x-3}{x-3}$ and the second by $\dfrac{x+3}{x+3}$:
$$E_2=\dfrac{2(x-3)}{(x+3)(x-3)}+\dfrac{5(x+3)}{(x+3)(x-3)}.$$
3) Place the sum over the common denominator:
$$E_2=\dfrac{2(x-3)+5(x+3)}{(x+3)(x-3)}.$$
4) Clear parenthesis:
$$E_2=\dfrac{2x-6+5x+15}{(x+3)(x-3)}.$$
5) Reduce like terms:
$$E_2=\dfrac{7x+9}{(x+3)(x-3)}.$$
So the given statement makes sense.
