Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Topic Video
Question
100%
8.5 q6 Please fill in the red x boxes with the correct answer, thank you.
![Use the Binomial Theorem to expand and simplify the expression.
(u715 + 3)*
Step 1
The Binomial Theorem states that in the expansion of (x + y)",
(x + y)" = x" + nx" - 'y + . . . + „C, x^ – "y' + ... + nxy"
- 1
+ y",
the coefficient of x" -'y is as follows.
nC, =
n!
(n – r)!r!
„Cr =
r!
(n – r)!n!
n!r!
O „Cr =
(n – r)!
(n – r)!
n!r!
n!
O „Cr =
(n - r)!
To expand (u/5
3) using the Binomial Theorem, obtain the values for x, y, and n by comparing
+
(u75 + 3)*.
(€)
with (x + y)".
X =
u7/5
y = 3
n = 15
Step 2
Substitute x =
u7/5
, y = 3, andn = 5 into the formula for (x + y)".
(w75 + 3)*
3
(3) + 5C2 (u/5)° (3)² + sC3 (u?/s)´ (3)³ + 5C
+ 5C5 (3)5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b613516-9e12-4bba-bae7-579a0cfaa601%2F93fa87d8-4b5d-4094-9df8-bcf25ba67468%2Fnyqo8oc_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Binomial Theorem to expand and simplify the expression.
(u715 + 3)*
Step 1
The Binomial Theorem states that in the expansion of (x + y)",
(x + y)" = x" + nx" - 'y + . . . + „C, x^ – "y' + ... + nxy"
- 1
+ y",
the coefficient of x" -'y is as follows.
nC, =
n!
(n – r)!r!
„Cr =
r!
(n – r)!n!
n!r!
O „Cr =
(n – r)!
(n – r)!
n!r!
n!
O „Cr =
(n - r)!
To expand (u/5
3) using the Binomial Theorem, obtain the values for x, y, and n by comparing
+
(u75 + 3)*.
(€)
with (x + y)".
X =
u7/5
y = 3
n = 15
Step 2
Substitute x =
u7/5
, y = 3, andn = 5 into the formula for (x + y)".
(w75 + 3)*
3
(3) + 5C2 (u/5)° (3)² + sC3 (u?/s)´ (3)³ + 5C
+ 5C5 (3)5
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education