Simplify the following rational expression by adding, then identify the simplified expression below. 6m−36𝑚−3 + 6m2m−56𝑚2𝑚−5Question 4Select one:

Question

$\frac{6m - 36}{m - 3} + \frac{6m^2}{m - 5}$

Question 4 Select one:

🧐 Not the exact question you are looking for?Go ask a question

The given expression is 6m/(m-3) + 6m^2/(2m-5).

Step 1: Find a common denominator. The common denominator of the two fractions is (m-3)(2m-5).

Step 2: Rewrite each fraction with the common denominator. This gives us [6m*(2m-5)]/[(m-3)(2m-5)] + [6m^2*(m-3)]/[(m-3)(2m-5)].

Step 3: Simplify the numerators. This gives us [12m^2-30m]/[(m-3)(2m-5)] + [6m^3-9m^2]/[(m-3)(2m-5)].

Step 4: Combine the fractions. This gives us [6m^3+3m^2-30m]/[(m-3)(2m-5)].

Step 5: Simplify the expression. This gives us 3m[2m^2+m-10]/[(m-3)(2m-5)].

So, the simplified expression is 3m[2m^2+m-10]/[(m-3)(2m-5)].

This problem has been solved

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.