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Algebraic fractions simplify

Algebraic fractions simplify-example-1

2 Answers

6 votes

Answer:

The correct answer option is B) 3m.

Explanation:

We are given the following algebraic expression and we are to simplify it:


\frac { 3m }{ 3 - 6 } ·
\frac { 5m^3 - 30m^2} {5m^2}

To solve this, we will begin with taking the common terms out to get:


\frac { 3m }{ 3 - 6 } ·
\frac { 5m^2(m-6)} {5m^2}

Next, we will cancel the like terms where
5m^2 and
5m-6 cancel each other and we are left with
3m

Therefore, from the given answer options the correct option is B) 3m.

User Hayk Nahapetyan
by
8.7k points
3 votes

Answer:

Final answer is choice B) 3m.

Explanation:


(3m)/(m-6)\cdot(5m^3-30m^2)/(5m^2)

Factor terms whichever possible.


=(3m)/(m-6)\cdot(5m^2\left(m-6\right))/(5m^2)


=(3m\cdot5m^2\left(m-6\right))/(5m^2\left(m-6\right))

Cancel out same factors which are present in numerator and denominator.


=3m

Hence final answer is choice B) 3m.

User Starikoff
by
8.0k points

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