x²+3x+2 3x+3
___ -
x²+2x+1 x²+2x+1

Question

03-09-2014
Math

Answered

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x²+3x+2 3x+3
___ -
x²+2x+1 x²+2x+1

Sagot :

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Riza1idn Riza1idn · Answer 1 · 2014-09-03T19:30:19+08:00

Riza1idn Riza1idn

03-09-2014

[tex]\frac{x^2+3x+2}{x^+2x+1 }-\frac{3x+3}{x^2+2x+1 }=\frac{x^2+3x+2-(3x+3)}{x^2+2x+1 }=\frac{x^2+3x+2- 3x -3 }{(x+1)^2 }=\\\\=\frac{x^2 -1}{(x+1)^2 }=\frac{(x -1)(x+1)}{(x+1)^2 }=\frac{ x -1 }{ x+1 }[/tex]

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