We appreciate your visit to Choose the correct simplification of tex 6x 5 2x 2 3x 6 tex A tex 12x 3 28x 2 21x 30 tex B tex 12x. 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 [tex]\[(6x - 5)(2x^2 - 3x - 6)\][/tex] step-by-step.
1. Distribute [tex]\( 6x \)[/tex] to each term in the polynomial [tex]\( (2x^2 - 3x - 6) \)[/tex]:
[tex]\[ 6x \cdot 2x^2 + 6x \cdot (-3x) + 6x \cdot (-6) \][/tex]
[tex]\[ = 12x^3 - 18x^2 - 36x \][/tex]
2. Distribute [tex]\( -5 \)[/tex] to each term in the polynomial [tex]\( (2x^2 - 3x - 6) \)[/tex]:
[tex]\[ -5 \cdot 2x^2 + (-5) \cdot (-3x) + (-5) \cdot (-6) \][/tex]
[tex]\[ = -10x^2 + 15x + 30 \][/tex]
3. Combine the results:
[tex]\[
(12x^3 - 18x^2 - 36x) + (-10x^2 + 15x + 30)
\][/tex]
4. Combine like terms:
[tex]\[
12x^3 + (-18x^2 - 10x^2) + (-36x + 15x) + 30
\][/tex]
[tex]\[
12x^3 - 28x^2 - 21x + 30
\][/tex]
So the correct simplification of [tex]\((6x - 5)(2x^2 - 3x - 6)\)[/tex] is:
[tex]\[ 12x^3 - 28x^2 - 21x + 30 \][/tex]
Therefore, the correct answer is:
[tex]\[ 12x^3 - 28x^2 - 21x + 30 \][/tex]
1. Distribute [tex]\( 6x \)[/tex] to each term in the polynomial [tex]\( (2x^2 - 3x - 6) \)[/tex]:
[tex]\[ 6x \cdot 2x^2 + 6x \cdot (-3x) + 6x \cdot (-6) \][/tex]
[tex]\[ = 12x^3 - 18x^2 - 36x \][/tex]
2. Distribute [tex]\( -5 \)[/tex] to each term in the polynomial [tex]\( (2x^2 - 3x - 6) \)[/tex]:
[tex]\[ -5 \cdot 2x^2 + (-5) \cdot (-3x) + (-5) \cdot (-6) \][/tex]
[tex]\[ = -10x^2 + 15x + 30 \][/tex]
3. Combine the results:
[tex]\[
(12x^3 - 18x^2 - 36x) + (-10x^2 + 15x + 30)
\][/tex]
4. Combine like terms:
[tex]\[
12x^3 + (-18x^2 - 10x^2) + (-36x + 15x) + 30
\][/tex]
[tex]\[
12x^3 - 28x^2 - 21x + 30
\][/tex]
So the correct simplification of [tex]\((6x - 5)(2x^2 - 3x - 6)\)[/tex] is:
[tex]\[ 12x^3 - 28x^2 - 21x + 30 \][/tex]
Therefore, the correct answer is:
[tex]\[ 12x^3 - 28x^2 - 21x + 30 \][/tex]
Thanks for taking the time to read Choose the correct simplification of tex 6x 5 2x 2 3x 6 tex A tex 12x 3 28x 2 21x 30 tex B tex 12x. 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
