We appreciate your visit to What is the product tex left 7x 2 right left 2x 3 5 right left x 2 4x 9 right tex A tex 14x 5. 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!
Answer :
To solve this problem, we need to find the product of the expression:
[tex]\[
(7x^2)(2x^3 + 5)(x^2 - 4x - 9).
\][/tex]
Let's break it down into steps:
### Step 1: Expand the Inner Expressions
First, we'll multiply [tex]\(7x^2\)[/tex] with each term of [tex]\((2x^3 + 5)\)[/tex] individually:
- [tex]\(7x^2 \times 2x^3 = 14x^5\)[/tex],
- [tex]\(7x^2 \times 5 = 35x^2\)[/tex].
Now our expression is:
[tex]\[
(14x^5 + 35x^2)(x^2 - 4x - 9).
\][/tex]
### Step 2: Multiply the Resulting Expression
Next, distribute each term from [tex]\((14x^5 + 35x^2)\)[/tex] to each term in [tex]\((x^2 - 4x - 9)\)[/tex]:
- For [tex]\(14x^5\)[/tex]:
- [tex]\(14x^5 \times x^2 = 14x^7\)[/tex],
- [tex]\(14x^5 \times (-4x) = -56x^6\)[/tex],
- [tex]\(14x^5 \times (-9) = -126x^5\)[/tex].
- For [tex]\(35x^2\)[/tex]:
- [tex]\(35x^2 \times x^2 = 35x^4\)[/tex],
- [tex]\(35x^2 \times (-4x) = -140x^3\)[/tex],
- [tex]\(35x^2 \times (-9) = -315x^2\)[/tex].
### Step 3: Write the Full Expansion and Combine Like Terms
Now, let's write all the results from the multiplication:
[tex]\[
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2.
\][/tex]
Look through these terms and ensure all like terms have been combined. Since all terms are distinct besides being different powers of [tex]\(x\)[/tex], there are no additional terms to combine.
Thus, the final expanded product of the expression is:
[tex]\[
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2.
\][/tex]
This is the correct answer to the problem.
[tex]\[
(7x^2)(2x^3 + 5)(x^2 - 4x - 9).
\][/tex]
Let's break it down into steps:
### Step 1: Expand the Inner Expressions
First, we'll multiply [tex]\(7x^2\)[/tex] with each term of [tex]\((2x^3 + 5)\)[/tex] individually:
- [tex]\(7x^2 \times 2x^3 = 14x^5\)[/tex],
- [tex]\(7x^2 \times 5 = 35x^2\)[/tex].
Now our expression is:
[tex]\[
(14x^5 + 35x^2)(x^2 - 4x - 9).
\][/tex]
### Step 2: Multiply the Resulting Expression
Next, distribute each term from [tex]\((14x^5 + 35x^2)\)[/tex] to each term in [tex]\((x^2 - 4x - 9)\)[/tex]:
- For [tex]\(14x^5\)[/tex]:
- [tex]\(14x^5 \times x^2 = 14x^7\)[/tex],
- [tex]\(14x^5 \times (-4x) = -56x^6\)[/tex],
- [tex]\(14x^5 \times (-9) = -126x^5\)[/tex].
- For [tex]\(35x^2\)[/tex]:
- [tex]\(35x^2 \times x^2 = 35x^4\)[/tex],
- [tex]\(35x^2 \times (-4x) = -140x^3\)[/tex],
- [tex]\(35x^2 \times (-9) = -315x^2\)[/tex].
### Step 3: Write the Full Expansion and Combine Like Terms
Now, let's write all the results from the multiplication:
[tex]\[
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2.
\][/tex]
Look through these terms and ensure all like terms have been combined. Since all terms are distinct besides being different powers of [tex]\(x\)[/tex], there are no additional terms to combine.
Thus, the final expanded product of the expression is:
[tex]\[
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2.
\][/tex]
This is the correct answer to the problem.
Thanks for taking the time to read What is the product tex left 7x 2 right left 2x 3 5 right left x 2 4x 9 right tex A tex 14x 5. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
