College

We appreciate your visit to Find the product of tex 2x 4 4x 2 3x 1 tex A tex 8x 6 6x 5 2x 4 tex B tex 8x 8. 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!

Find the product of [tex]2x^4(4x^2 + 3x + 1)[/tex]:

A. [tex]8x^6 + 6x^5 + 2x^4[/tex]

B. [tex]8x^8 + 3x^4 + 2x^4[/tex]

C. [tex]2x^4 + 6x^5 + 8x^6[/tex]

D. [tex]6x^6 + 5x^5 + 3x^4[/tex]

Answer :

To find the product of [tex]\(2x^4(4x^2 + 3x + 1)\)[/tex], we need to distribute and multiply each term inside the parenthesis by [tex]\(2x^4\)[/tex]. Let's go through this process step-by-step:

1. Multiply [tex]\(2x^4\)[/tex] with the first term inside the parenthesis:
[tex]\[
2x^4 \times 4x^2 = 8x^{4+2} = 8x^6
\][/tex]

2. Multiply [tex]\(2x^4\)[/tex] with the second term inside the parenthesis:
[tex]\[
2x^4 \times 3x = 6x^{4+1} = 6x^5
\][/tex]

3. Multiply [tex]\(2x^4\)[/tex] with the third term inside the parenthesis:
[tex]\[
2x^4 \times 1 = 2x^4
\][/tex]

Finally, combine all these products to get the final expression:
[tex]\[
8x^6 + 6x^5 + 2x^4
\][/tex]

This is the expanded form of the expression and your answer.

Thanks for taking the time to read Find the product of tex 2x 4 4x 2 3x 1 tex A tex 8x 6 6x 5 2x 4 tex B tex 8x 8. 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