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 112E
To determine

To calculate: The factor of the expression (a21)b24(a21) .

Expert Solution

Answer to Problem 112E

The factor of the expression (a21)b24(a21) is (a1)(a+1)(b2)(b+2) .

Explanation of Solution

Given information:

The expression (a21)b24(a21) .

Formula used:

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

  A2B2=(A+B)(AB)

Calculation:

Consider the given expression (a21)b24(a21) .

Rewrite the expression as,

  (a21)b24(a21)=(a21)(b24)

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

  A2B2=(A+B)(AB)

Apply it,

  (a21)b24(a21)=(a21)(b24)=[(a)2(1)2][(b)2(2)2]=(a1)(a+1)(b2)(b+2)

Thus, the factor of expression (a21)b24(a21) is (a1)(a+1)(b2)(b+2) .

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