Question

The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step?

Answer 1

ANSWER

$3m - \frac{4 }{3} - \frac{2 }{ m}$

EXPLANATION

The step shown is

$\frac{9 {m}^{2} }{3m} - \frac{4m}{3m} - \frac{6}{3m}$

This is the same as,

$\frac{3 \times 3 \times m \times m }{3 \times m} - \frac{4 \times m}{3 \times m} - \frac{2 \times 3}{3 \times m}$
The next thing to do now is to cancel out the common factors to obtain,



$\frac{3 \times 1 \times m \times 1 }{1 \times 1} - \frac{4 \times 1}{3 \times 1} - \frac{2 \times 1}{1 \times m}$


We simplify to get,

$\frac{3 m }{1} - \frac{4 }{3} - \frac{2 }{ m}$
This gives us,

$3m - \frac{4 }{3} - \frac{2 }{ m}$

The correct answer is D.

Answer 2

I hope this helps you


9m²/3m=3m


4m/3m=4/3


6/3m=2/m


3m-4/3-2/m