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

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.1: Add And Subtract Polynomials
Problem 6.29TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...
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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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