Simplify the following rational expression:3m2+4m−3210m2+40m
Question
Simplify the following rational expression:3m2+4m−3210m2+40m
Solution
To simplify the rational expression, we first factor the numerator and the denominator.
The numerator is a quadratic expression, which can be factored as follows:
3m^2 + 4m - 3 = (3m - 1)(m + 3)
The denominator is also a quadratic expression, which can be factored as follows:
10m^2 + 40m = 10m(m + 4)
So, the rational expression becomes:
(3m - 1)(m + 3) / 10m(m + 4)
This is the simplified form of the given rational expression.
Similar Questions
Rationalize the denominator and simplify the following expression:
What is the simplified form of the rational expression below?3𝑥2−482𝑥2+8𝑥2x 2 +8x3x 2 −48 A.3(𝑥+4)2𝑥2x3(x+4) B.3(𝑥−4)223(x−4) C.3(𝑥−4)2𝑥2x3(x−4) D.3(𝑥+4)223(x+4) SUBMITarrow_backPREVIOUS
Simplify the following rational expression by adding, then identify the simplified expression below. 6m−36𝑚−3 + 6m2m−56𝑚2𝑚−5Question 4Select one:
3m 2 −4m−4=m
Simplify the rational expression.2x2 − x − 282x2 + 5x − 7
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.