The expression (x- 6)2 is equivalent to A) x2+36 B) x² + 12x + 36 C) x-12x +36 D) x2-36
The expression (x- 6)2 is equivalent to A) x2+36 B) x² + 12x + 36 C) x-12x +36 D) x2-36
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![**Question 10: Quadratic Expressions**
On this page, we will explore how to expand and simplify the expression \((x - 6)^2\).
**Question:**
The expression \((x - 6)^2\) is equivalent to:
A) \( x^2 + 36 \)
B) \( x^2 + 12x + 36 \)
C) \( x^2 - 12x + 36 \)
D) \( x^2 - 36 \)
To solve for the equivalent expression:
1. Begin with the given expression:
\[
(x - 6)^2
\]
2. Apply the formula for squaring a binomial:
\[
(a - b)^2 = a^2 - 2ab + b^2
\]
Here, \(a = x\) and \(b = 6\).
3. Substitute \(a\) and \(b\) into the formula:
\[
(x - 6)^2 = x^2 - 2(x)(6) + 6^2
\]
4. Simplify the terms:
\[
x^2 - 12x + 36
\]
Therefore, the correct answer is:
**C) \( x^2 - 12x + 36 \)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F255988e0-f50a-4838-98a4-d01cc1c2f3a3%2F17d545f4-f9fc-46a2-8018-67c7b241e528%2Ftvlracj8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 10: Quadratic Expressions**
On this page, we will explore how to expand and simplify the expression \((x - 6)^2\).
**Question:**
The expression \((x - 6)^2\) is equivalent to:
A) \( x^2 + 36 \)
B) \( x^2 + 12x + 36 \)
C) \( x^2 - 12x + 36 \)
D) \( x^2 - 36 \)
To solve for the equivalent expression:
1. Begin with the given expression:
\[
(x - 6)^2
\]
2. Apply the formula for squaring a binomial:
\[
(a - b)^2 = a^2 - 2ab + b^2
\]
Here, \(a = x\) and \(b = 6\).
3. Substitute \(a\) and \(b\) into the formula:
\[
(x - 6)^2 = x^2 - 2(x)(6) + 6^2
\]
4. Simplify the terms:
\[
x^2 - 12x + 36
\]
Therefore, the correct answer is:
**C) \( x^2 - 12x + 36 \)**
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