We appreciate your visit to Select the correct answer Simplify the expression tex 4 x 2 3x 7 tex A tex 12 x 3 28 x 2 tex B 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!
Answer :
Sure! Let's go through the steps to simplify the expression [tex]\(-4 x^2(3 x - 7)\)[/tex]:
1. First, distribute the [tex]\(-4 x^2\)[/tex] across each term inside the parentheses.
[tex]\[
-4 x^2 \cdot (3 x) + (-4 x^2) \cdot (-7)
\][/tex]
2. Multiply the terms:
- For the first term [tex]\(-4 x^2 \cdot 3 x\)[/tex]:
[tex]\[
-4 \cdot 3 \cdot x^2 \cdot x = -12 x^3
\][/tex]
- For the second term [tex]\(-4 x^2 \cdot (-7)\)[/tex]:
[tex]\[
-4 \cdot (-7) \cdot x^2 = 28 x^2
\][/tex]
3. Combine these two results:
[tex]\[
-12 x^3 + 28 x^2
\][/tex]
So, the simplified expression is [tex]\(-12 x^3 + 28 x^2\)[/tex]. Looking at the given choices:
A. [tex]\(-12 x^3 + 28 x^2\)[/tex]
B. [tex]\(-12 x^3 - 28 x^2\)[/tex]
C. [tex]\(-12 x^3 - 28\)[/tex]
D. [tex]\(-12 x^3 + 28\)[/tex]
The correct answer is:
A. [tex]\(-12 x^3 + 28 x^2\)[/tex]
1. First, distribute the [tex]\(-4 x^2\)[/tex] across each term inside the parentheses.
[tex]\[
-4 x^2 \cdot (3 x) + (-4 x^2) \cdot (-7)
\][/tex]
2. Multiply the terms:
- For the first term [tex]\(-4 x^2 \cdot 3 x\)[/tex]:
[tex]\[
-4 \cdot 3 \cdot x^2 \cdot x = -12 x^3
\][/tex]
- For the second term [tex]\(-4 x^2 \cdot (-7)\)[/tex]:
[tex]\[
-4 \cdot (-7) \cdot x^2 = 28 x^2
\][/tex]
3. Combine these two results:
[tex]\[
-12 x^3 + 28 x^2
\][/tex]
So, the simplified expression is [tex]\(-12 x^3 + 28 x^2\)[/tex]. Looking at the given choices:
A. [tex]\(-12 x^3 + 28 x^2\)[/tex]
B. [tex]\(-12 x^3 - 28 x^2\)[/tex]
C. [tex]\(-12 x^3 - 28\)[/tex]
D. [tex]\(-12 x^3 + 28\)[/tex]
The correct answer is:
A. [tex]\(-12 x^3 + 28 x^2\)[/tex]
Thanks for taking the time to read Select the correct answer Simplify the expression tex 4 x 2 3x 7 tex A tex 12 x 3 28 x 2 tex B 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!
- 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
