Multiply: X - X – 6 . x² + x – 6 x² – 4 x2 – 9 To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any common factors can be removed. We want to give the result in simplified form. x² – x – 6 . x² + x – 6 x2 - 9 x² – 4 (x2 – x – 6)(x² + x – 6). (x2 – 4)(x² – 9) (x – 3)(x + 2)(x + 3)(x – 2). (x + 2)(x – 2)(x + 3)(x – 3) Multiply the numerators. Multiply the denominators. Factor the polynomials. 1 1 1 fx 3) (x+2) fx+3) (x– 2) fx+2) (x 2) fx+3) fx3) Simplify by removing common factors of the numerator and denominator. 1 1 = 1 а2 +а- 56 . а2- а - 56 a² – 49 Multiply: a2 - 64 a°cfr(a + 8) 56a2 – 64 - a - a + 7

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,...
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Question
x² – x – 6 , x² + x – 6 _
x2 – 9
Multiply:
x2 - 4
To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any
common factors can be removed.
We want to give the result in simplified form.
(x² – x – 6)(x² + x – 6)
(x² – 4)(x²
(x – 3)(x + 2)(x + 3)(x – 2)
(x + 2)(x – 2)(x + 3)(x – 3)
x2
- 6
x2
—х- 6 х? +x —
- X -
Multiply the numerators. Multiply the denominators.
x2
4
9.
Factor the polynomials.
1
1
1
(* 3) (x+ 2) (X+3} (x2)
fX+2} (x 2 (X+3) (x– 3)
Simplify by removing common factors of the numerator and denominator.
1
1
1
1
= 1
a2 + a - 56 . a?
a? - 49
56
a? - 64
- a -
Multiply:
a°cfr[ a + 8)
56a? – 64
a -
a +7
Transcribed Image Text:x² – x – 6 , x² + x – 6 _ x2 – 9 Multiply: x2 - 4 To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any common factors can be removed. We want to give the result in simplified form. (x² – x – 6)(x² + x – 6) (x² – 4)(x² (x – 3)(x + 2)(x + 3)(x – 2) (x + 2)(x – 2)(x + 3)(x – 3) x2 - 6 x2 —х- 6 х? +x — - X - Multiply the numerators. Multiply the denominators. x2 4 9. Factor the polynomials. 1 1 1 (* 3) (x+ 2) (X+3} (x2) fX+2} (x 2 (X+3) (x– 3) Simplify by removing common factors of the numerator and denominator. 1 1 1 1 = 1 a2 + a - 56 . a? a? - 49 56 a? - 64 - a - Multiply: a°cfr[ a + 8) 56a? – 64 a - a +7
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