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 1.3, Problem 89E
To determine

To calculate: The factor of the expression x52x12 .

Expert Solution

Answer to Problem 89E

The factor of the expression x52x12 is x(x+1)(x1) .

Explanation of Solution

Given information:

The expression x52x12 .

Formula used:

To factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

The special factoring formula for difference of squares, which is mathematically expressed as,

  A2B2=(A+B)(AB)

Calculation:

Consider the given expression x52x12 .

Recall that to factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Apply it,

  x52x12=x12(x52x121)=x12(x21)=x(x21)

Recall the special factoring formula for difference of squares, which is mathematically expressed as,

  A2B2=(A+B)(AB)

Here, A=x2 and B=1 , so, apply the special factoring formula,

  x52x12=x(x21)=x(x+1)(x1)

Thus, the factor of expression x52x12 is x(x+1)(x1) .

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!