Chapter 5: Q. 252 (page 487)

In the following exercises, find the product of $(x^{5} + y^{5}) (x^{5} - y^{5})$ .

Short Answer

Expert verified

The product of $(x^{5} + y^{5}) (x^{5} - y^{5})$ is $x^{10} - y^{10}$

Step by step solution

Step 1. Given Information.

The given expression is $(x^{5} + y^{5}) (x^{5} - y^{5})$ .

Step 2. Solve for the multiplication of given expression.

Multiply the expression $(x^{5} + y^{5}) (x^{5} - y^{5})$

Apply Difference of Two Squares Formula:-

$(a + b) (a - b) = a^{2} - b^{2}$

localid="1644760207854" $\begin{array}{rcl} (x^{5} + y^{5}) (x^{5} - y^{5}) & = & {(x^{5})}^{2} - {(y^{5})}^{2} \\ {(x^{5})}^{2} - {(y^{5})}^{2} & = & x^{10} - y^{10} \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find the product of $(x^{5} + y^{5}) (x^{5} - y^{5})$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve for the multiplication of given expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Geometry

Mechanics Maths

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the product of (x5+y5)(x5−y5).

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve for the multiplication of given expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Geometry

Mechanics Maths

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the product of $(x^{5} + y^{5}) (x^{5} - y^{5})$ .