BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 46RE
To determine

Factor the expression completely.

Expert Solution

Answer to Problem 46RE

  (2x+y2)(4x22xy2+y4)

Explanation of Solution

Given information:

Factor the expression completely.

  8x3+y6

Calculation:

Consider the given expression.

  8x3+y6

The given expression is a sum of two variables, apply identity based factoring formula.

  8x3+y6=a3+b3=(a+b)(a2ab+b2)=(8x33+y63)[(8x33)2(8x33)(y63)+(y63)2]=(2x+y2)(2x)22x(y2)+(y2)2=(2x+y2)(4x22xy2+y4)

Hence, the factors are (2x+y2)(4x22xy2+y4)

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!