Solmyr
Simplify 2x + 10 / x^2 + 4x – 5
X + 5 / x – 1
2 / x – 1
2(x + 5) / x – 1
2 / x
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hartnn
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can you factor x^2 + 4x – 5 ?
Solmyr
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forgot
hartnn
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what are the 2 numbers with sum =4 and product = -5 ?
Solmyr
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4x and -5
hartnn
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you mean 4 and -5 ?
not really...
Solmyr
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ok
hartnn
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try again ?
Solmyr
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2 and 10
hartnn
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2+10 =4 ?
hartnn
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and one of the number will be negative.
Solmyr
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oh 2x and x^2 = 4
Solmyr
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10 - 5 = 5
hartnn
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what about +5 and -1 ?
Solmyr
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4
hartnn
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will those give sum =4 and product = -5 ?
Solmyr
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yes
hartnn
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so, we split the middle term
4x = 5x-x
Solmyr
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ok
hartnn
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x^2+5x-x-5 =0
x(x+5)-1 (x+5) =0
factor out x+5 from that, what u get ?
Solmyr
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ok so im gonna have
(x + 5) and also -1
hartnn
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and there was +x in the beginning also, right ?
so , you have
(x-1)(x+5) as your denominator, ok ?
what about numerator 2x+10
factor out 2, what u get ?
Solmyr
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12x
hartnn
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how ?
Solmyr
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well adding them both together
hartnn
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you can't add 2x to 10
2x has 'x' in it, its variable, 10 is a constant
Solmyr
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oh srry
Solmyr
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im not sure then
hartnn
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2*x+10 = 2*x+2*5
2 is common, factoring it out,
2 (x+5)
got this ?
Solmyr
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yup
hartnn
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numerator = 2 (x+5)
denominator = (x-1)(x+5)
what gets cancelled out ?
Solmyr
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x + 5
hartnn
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what remains ?
Solmyr
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2 / x - 1
hartnn
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thats your answer :)
Solmyr
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thank you for all your help
hartnn
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welcome ^_^