write the following fraction in a single fraction in its simplest form x+1/x+5 - x/x+1
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= x+1/x+5 - x/x+1
= (x+1) (x+1) - x ( x+5) / (x+5) (x+1)
= x²+ 2x +1 - x² - 5x / x² +x + 5x + 5
= -3x + 1 / x² + 6x + 5
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