We appreciate your visit to Choose the correct simplification of tex 4x 3 3x 2 4x 3 tex A tex 12x 3 25x 2 9 tex B tex 12x 3. 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 simplify the expression [tex]\((4x - 3)(3x^2 - 4x - 3)\)[/tex] step-by-step:
1. Distribute [tex]\((4x - 3)\)[/tex] across each term in [tex]\((3x^2 - 4x - 3)\)[/tex]. This means we'll multiply [tex]\(4x\)[/tex] by each term in the second polynomial, and then do the same with [tex]\(-3\)[/tex].
2. Multiply [tex]\(4x\)[/tex] by each of the terms in [tex]\((3x^2 - 4x - 3)\)[/tex]:
[tex]\[
4x \cdot 3x^2 = 12x^3
\][/tex]
[tex]\[
4x \cdot (-4x) = -16x^2
\][/tex]
[tex]\[
4x \cdot (-3) = -12x
\][/tex]
3. Multiply [tex]\(-3\)[/tex] by each of the terms in [tex]\((3x^2 - 4x - 3)\)[/tex]:
[tex]\[
-3 \cdot 3x^2 = -9x^2
\][/tex]
[tex]\[
-3 \cdot (-4x) = 12x
\][/tex]
[tex]\[
-3 \cdot (-3) = 9
\][/tex]
4. Combine all these terms together:
[tex]\[
12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9
\][/tex]
5. Combine like terms:
- Combine the [tex]\(x^2\)[/tex] terms: [tex]\(-16x^2 - 9x^2 = -25x^2\)[/tex]
- Combine the [tex]\(x\)[/tex] terms: [tex]\(-12x + 12x = 0\)[/tex]
6. Write the final simplified expression:
[tex]\[
12x^3 - 25x^2 + 9
\][/tex]
Therefore, the correct simplification of [tex]\((4x - 3)(3x^2 - 4x - 3)\)[/tex] is [tex]\(\boxed{12x^3 - 25x^2 + 9}\)[/tex].
1. Distribute [tex]\((4x - 3)\)[/tex] across each term in [tex]\((3x^2 - 4x - 3)\)[/tex]. This means we'll multiply [tex]\(4x\)[/tex] by each term in the second polynomial, and then do the same with [tex]\(-3\)[/tex].
2. Multiply [tex]\(4x\)[/tex] by each of the terms in [tex]\((3x^2 - 4x - 3)\)[/tex]:
[tex]\[
4x \cdot 3x^2 = 12x^3
\][/tex]
[tex]\[
4x \cdot (-4x) = -16x^2
\][/tex]
[tex]\[
4x \cdot (-3) = -12x
\][/tex]
3. Multiply [tex]\(-3\)[/tex] by each of the terms in [tex]\((3x^2 - 4x - 3)\)[/tex]:
[tex]\[
-3 \cdot 3x^2 = -9x^2
\][/tex]
[tex]\[
-3 \cdot (-4x) = 12x
\][/tex]
[tex]\[
-3 \cdot (-3) = 9
\][/tex]
4. Combine all these terms together:
[tex]\[
12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9
\][/tex]
5. Combine like terms:
- Combine the [tex]\(x^2\)[/tex] terms: [tex]\(-16x^2 - 9x^2 = -25x^2\)[/tex]
- Combine the [tex]\(x\)[/tex] terms: [tex]\(-12x + 12x = 0\)[/tex]
6. Write the final simplified expression:
[tex]\[
12x^3 - 25x^2 + 9
\][/tex]
Therefore, the correct simplification of [tex]\((4x - 3)(3x^2 - 4x - 3)\)[/tex] is [tex]\(\boxed{12x^3 - 25x^2 + 9}\)[/tex].
Thanks for taking the time to read Choose the correct simplification of tex 4x 3 3x 2 4x 3 tex A tex 12x 3 25x 2 9 tex B tex 12x 3. 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
