We appreciate your visit to What is the product of tex 2x 9y 2 4x 3 tex A tex 8x 2 6x 36xy 2 27y 2 tex B tex 14x. 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 find the product of the expression [tex]\((-2x - 9y^2)(-4x - 3)\)[/tex], we can use the distributive property. This involves multiplying each term in the first expression by each term in the second expression. Let's go through this step-by-step:
1. Multiply the first term from the first expression by each term in the second expression:
- Multiply [tex]\(-2x\)[/tex] by [tex]\(-4x\)[/tex]:
[tex]\[
(-2x) \times (-4x) = 8x^2
\][/tex]
- Multiply [tex]\(-2x\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[
(-2x) \times (-3) = 6x
\][/tex]
2. Multiply the second term from the first expression by each term in the second expression:
- Multiply [tex]\(-9y^2\)[/tex] by [tex]\(-4x\)[/tex]:
[tex]\[
(-9y^2) \times (-4x) = 36xy^2
\][/tex]
- Multiply [tex]\(-9y^2\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[
(-9y^2) \times (-3) = 27y^2
\][/tex]
3. Combine all the products:
After calculating each term, we combine them to get the final product of the expressions:
[tex]\[
8x^2 + 6x + 36xy^2 + 27y^2
\][/tex]
This is the expanded form of the product [tex]\(\left(-2x - 9y^2\right)(-4x - 3)\)[/tex]. Thus, the final answer is:
[tex]\[ 8x^2 + 6x + 36xy^2 + 27y^2 \][/tex]
This matches option: [tex]\(8x^2 + 6x + 36xy^2 + 27y^2\)[/tex].
1. Multiply the first term from the first expression by each term in the second expression:
- Multiply [tex]\(-2x\)[/tex] by [tex]\(-4x\)[/tex]:
[tex]\[
(-2x) \times (-4x) = 8x^2
\][/tex]
- Multiply [tex]\(-2x\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[
(-2x) \times (-3) = 6x
\][/tex]
2. Multiply the second term from the first expression by each term in the second expression:
- Multiply [tex]\(-9y^2\)[/tex] by [tex]\(-4x\)[/tex]:
[tex]\[
(-9y^2) \times (-4x) = 36xy^2
\][/tex]
- Multiply [tex]\(-9y^2\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[
(-9y^2) \times (-3) = 27y^2
\][/tex]
3. Combine all the products:
After calculating each term, we combine them to get the final product of the expressions:
[tex]\[
8x^2 + 6x + 36xy^2 + 27y^2
\][/tex]
This is the expanded form of the product [tex]\(\left(-2x - 9y^2\right)(-4x - 3)\)[/tex]. Thus, the final answer is:
[tex]\[ 8x^2 + 6x + 36xy^2 + 27y^2 \][/tex]
This matches option: [tex]\(8x^2 + 6x + 36xy^2 + 27y^2\)[/tex].
Thanks for taking the time to read What is the product of tex 2x 9y 2 4x 3 tex A tex 8x 2 6x 36xy 2 27y 2 tex B tex 14x. 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
