We appreciate your visit to Which of the following trinomials is equivalent to tex A B 2 tex where tex A n x tex and tex tex B m 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 :
To solve this problem, we need to expand the expression [tex]\((A-B)^2\)[/tex], where [tex]\(A = n \cdot x\)[/tex] and [tex]\(B = m\)[/tex]. We are given specific values [tex]\(n = 6\)[/tex] and [tex]\(m = 5\)[/tex]. This means:
- [tex]\(A = 6x\)[/tex]
- [tex]\(B = 5\)[/tex]
Now, let's expand the expression [tex]\((A-B)^2\)[/tex]:
[tex]\[
(A-B)^2 = (6x - 5)^2
\][/tex]
Using the formula for the square of a binomial, [tex]\((a-b)^2 = a^2 - 2ab + b^2\)[/tex], we can expand [tex]\((6x - 5)^2\)[/tex]:
1. Calculate [tex]\(a^2\)[/tex]:
[tex]\[
(6x)^2 = 36x^2
\][/tex]
2. Calculate [tex]\(-2ab\)[/tex]:
[tex]\[
-2 \cdot (6x) \cdot 5 = -60x
\][/tex]
3. Calculate [tex]\(b^2\)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
Putting it all together:
[tex]\[
(6x - 5)^2 = 36x^2 - 60x + 25
\][/tex]
Now, compare this expanded expression with the given options:
a) [tex]\(36x^2 + 60x + 25\)[/tex]
b) [tex]\(36x^2 + 60x - 25\)[/tex]
c) [tex]\(36x^2 - 60x + 25\)[/tex]
d) [tex]\(36x^2 - 60x - 25\)[/tex]
The option that matches the expanded expression [tex]\(36x^2 - 60x + 25\)[/tex] is option c). Therefore, the trinomial [tex]\(36x^2 - 60x + 25\)[/tex] is equivalent to [tex]\((A-B)^2\)[/tex].
- [tex]\(A = 6x\)[/tex]
- [tex]\(B = 5\)[/tex]
Now, let's expand the expression [tex]\((A-B)^2\)[/tex]:
[tex]\[
(A-B)^2 = (6x - 5)^2
\][/tex]
Using the formula for the square of a binomial, [tex]\((a-b)^2 = a^2 - 2ab + b^2\)[/tex], we can expand [tex]\((6x - 5)^2\)[/tex]:
1. Calculate [tex]\(a^2\)[/tex]:
[tex]\[
(6x)^2 = 36x^2
\][/tex]
2. Calculate [tex]\(-2ab\)[/tex]:
[tex]\[
-2 \cdot (6x) \cdot 5 = -60x
\][/tex]
3. Calculate [tex]\(b^2\)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
Putting it all together:
[tex]\[
(6x - 5)^2 = 36x^2 - 60x + 25
\][/tex]
Now, compare this expanded expression with the given options:
a) [tex]\(36x^2 + 60x + 25\)[/tex]
b) [tex]\(36x^2 + 60x - 25\)[/tex]
c) [tex]\(36x^2 - 60x + 25\)[/tex]
d) [tex]\(36x^2 - 60x - 25\)[/tex]
The option that matches the expanded expression [tex]\(36x^2 - 60x + 25\)[/tex] is option c). Therefore, the trinomial [tex]\(36x^2 - 60x + 25\)[/tex] is equivalent to [tex]\((A-B)^2\)[/tex].
Thanks for taking the time to read Which of the following trinomials is equivalent to tex A B 2 tex where tex A n x tex and tex tex B m 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
