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How about -x^2+ 9? May you please explain why and inform me of any postulate etc?

2007-10-15 04:27:57 · 4 answers · asked by GLAYS S 2 in Science & Mathematics Mathematics

Why ccould the answer be (-x-3)(x-3)?

2007-10-15 07:28:08 · update #1

Why couldn't* for the last detail add

2007-10-15 07:32:09 · update #2

4 answers

- (x - 3) (x + 3) [Kemmy].
If you multiply through by -1,
you get:
(x + 3) (x - 3).
The same!

2007-10-15 04:43:01 · answer #1 · answered by BB 7 · 0 0

You can factor out a -1 from the first and you will get

(-1)(x^2 + 9)

but there is not much more you can do with that. With the second, you get

(-1) (x^2 - 9)

x^2 - 9 factors to
(x + 3)(x - 3), so that gives you

(-1)(x + 3)(x - 3), this can by simplified slightly to

(x + 3)(3 - x), but that is a matter of taste.

You were using the distributive law to factor out the -1

HTH

Charles

2007-10-15 11:35:36 · answer #2 · answered by Charles 6 · 0 0

- x^2 - 9 = 0
- (x - 3) (x + 3) = 0
- x + 3 = 0, - x = - 3, x = 3
x + 3 = 0, x = - 3

Answer: x can either be 3 or - 3

Proof (x is 3):
- 3^2 - 9 = 0
9 - 9 = 0

Proof (x is - 3):
- (- 3^2) - 9 = 0
3^2 - 9 = 0
9 - 9 = 0

2007-10-15 11:44:20 · answer #3 · answered by Jun Agruda 7 · 2 0

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

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

2007-10-15 11:31:58 · answer #4 · answered by Kemmy 6 · 0 0

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