College

We appreciate your visit to Resuelve tex left 3 x 6 m 9 m 3 x 2 6 x m 2 right div 3 m x tex A tex 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Resuelve

[tex]\left(3 x^6 m + 9 m^3 x^2 + 6 x m^2\right) \div (3 m x)[/tex]

A. [tex]3 x^5 + 3 m^2 x + 6 m[/tex]

B. [tex]x^5 + 3 m^2 x + 2 m[/tex]

C. [tex]3 x m^5 + 9 m^2 x + 6 m[/tex]

D. [tex]x^5 - 9 m^2 x + 6 m[/tex]

Answer :

We start with the expression

[tex]$$
\frac{3x^6 m + 9m^3x^2 + 6xm^2}{3mx}.
$$[/tex]

To simplify, we divide each term in the numerator by the denominator [tex]$3mx$[/tex] separately.

1. For the first term:

[tex]$$
\frac{3x^6 m}{3mx} = x^{6-1} = x^5.
$$[/tex]

2. For the second term:

[tex]$$
\frac{9m^3x^2}{3mx} = \frac{9}{3} \cdot m^{3-1} \cdot x^{2-1} = 3m^2x.
$$[/tex]

3. For the third term:

[tex]$$
\frac{6xm^2}{3mx} = \frac{6}{3} \cdot m^{2-1} = 2m.
$$[/tex]

Now, combining these simplified terms, we obtain

[tex]$$
x^5 + 3m^2x + 2m.
$$[/tex]

Thus, the simplified expression is

[tex]$$
x^5 + 3m^2x + 2m,
$$[/tex]

which corresponds to option (b).

Thanks for taking the time to read Resuelve tex left 3 x 6 m 9 m 3 x 2 6 x m 2 right div 3 m x tex A tex 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada