Question

Algebraic fractions simplify

Answer 1

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.

Answer 2

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.