College

We appreciate your visit to Simplify tex left 3x 2 3 9x 3 right left 4x 3 2x 2 16 right tex A tex x 3 5x 2 25 tex. 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!

Simplify [tex]\left(3x^2 - 3 + 9x^3\right) - \left(4x^3 - 2x^2 + 16\right)[/tex].

A. [tex]x^3 - 5x^2 + 25[/tex]
B. [tex]-x^3 + x^2 - 25[/tex]
C. [tex]5x^3 + x^2 + 13[/tex]
D. [tex]5x^3 + 5x^2 - 19[/tex]

Answer :

Sure! Let's simplify the given expression step by step:

We have the expression:
[tex]\((3x^2 - 3 + 9x^3) - (4x^3 - 2x^2 + 16)\)[/tex].

Step 1: Distribute the Negative Sign

Rewrite the expression by distributing the negative sign across the second polynomial:
[tex]\[3x^2 - 3 + 9x^3 - 4x^3 + 2x^2 - 16.\][/tex]

Step 2: Combine Like Terms

- Combine the [tex]\(x^3\)[/tex] terms:
[tex]\(9x^3 - 4x^3 = 5x^3\)[/tex].

- Combine the [tex]\(x^2\)[/tex] terms:
[tex]\(3x^2 + 2x^2 = 5x^2\)[/tex].

- Combine the constant terms:
[tex]\(-3 - 16 = -19\)[/tex].

Step 3: Write the Simplified Expression

Putting it all together, we get:
[tex]\[5x^3 + 5x^2 - 19.\][/tex]

Thus, the simplified polynomial is [tex]\(5x^3 + 5x^2 - 19\)[/tex]. This matches one of the given options.

Thanks for taking the time to read Simplify tex left 3x 2 3 9x 3 right left 4x 3 2x 2 16 right tex A tex x 3 5x 2 25 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