Express the following rational expression in simplest form: 9-x^2 all over 10x^2-28x-6?

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Express the following rational expression in simplest form: 9-x^2 all over 10x^2-28x-6?

2007-11-16 11:15:50 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

numerator
9 - x^2 = (3+x)(3-x)

denominator :
10x^2 - 28x - 6 = 2(5x^2 - 14x - 3)

=>2(5x^2 -15x + x - 3) = 2(5x(x - 3) + 1(x - 3))

=>2(x - 3)(5x + 1)

Numerator/denominator = (3 + x)(3 - x)/2(x - 3)(5x + 1)

=> - (3+x)/2(5x+1)

2007-11-16 11:36:50 · answer #1 · answered by mohanrao d 7 · 0⤊ 0⤋

9-x^2
------------------
10x^2-28x-6

(3-x)(3+x)
-----------------= answer is 3+x / 2(x+5)
(10x+2)(x-3)

2007-11-16 19:58:41 · answer #2 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋

(3-x)(3+x)/2(5x+1)(x-3)
= -(3+x)/2(5x+1)

2007-11-16 19:23:53 · answer #3 · answered by norman 7 · 1⤊ 0⤋