Answer :

We start by rewriting the expression in a clearer form. The problem consists of two parts:

1. The first part is given as two pieces that we need to combine:
[tex]$$6 + 3x^2 - 15x \quad \text{and} \quad 6x.$$[/tex]

2. The second part is:
[tex]$$-150c + 4.$$[/tex]

---

Step 1. Combine the first part

First, add the expressions from the first part:

[tex]$$
6 + 3x^2 - 15x + 6x.
$$[/tex]

Combine the like terms involving [tex]\( x \)[/tex]:

[tex]$$
-15x + 6x = -9x.
$$[/tex]

Thus, the first part simplifies to:

[tex]$$
6 + 3x^2 - 9x.
$$[/tex]

---

Step 2. Combine with the second part

Now, add the second part to the simplified first part:

[tex]$$
(6 + 3x^2 - 9x) + (-150c + 4).
$$[/tex]

Group the constant terms:

[tex]$$
6 + 4 = 10.
$$[/tex]

So the full expression becomes:

[tex]$$
3x^2 - 9x - 150c + 10.
$$[/tex]

---

Final Answer

The final simplified expression is:

[tex]$$
\boxed{3x^2 - 9x - 150c + 10.}
$$[/tex]

Thanks for taking the time to read Simplify the expression tex begin array l 6 3x 2 15x 6x 150c 4 end array tex. 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