Mathematics: The first step when dividing 9m2 − 4m − 6 by 3m is shown. (9m^2 divided by divided by divided by 3m) which could be the next step? (a) 3m-3/4-m/2 (b) 3m-3/4-2/m (c) 3m-4/3-m/2 (d) 3m-4/3-2/m

if two angles are supplementary then it equals to 180Step-by-step explanation:...

The first step when dividing 9m2 − 4m − 6 by 3m

kebaby9930

05.01.2022

Option D

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

Step-by-step explanation:

The initial expression is:

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

The first step is:

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

Now we must simplify the 3 fractions.

We know that by properties of the division of exponents of the same base:

$\frac{a^n}{a^h}= a^{n-h}$

Then for the expression:

$\frac{9m^2}{3m}$

In this case

$a=m\\n=2\\h=1$

$\frac{9m^2}{3m} = 3m^{2-1}=3m$

Then for the expression:

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

$a=m\\n=1\\h=1$

$\frac{4m}{3m}= \frac{4}{3}m^{1-1}=\frac{4}{3}$

Then for the expression:

$\frac{6}{3m}$

$a=m\\n=0\\h=1$

$\frac{6}{3m}=\frac{2}{m}$

Finally

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

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