How does this simplification work?

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    Algebra 2 Work
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rishi kesh
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Please check the image below. My algebra is bit rusty. Please explain the second step where the common factor is taken out.
Three-line limit simplification, photographed from a printed book: lim as x approaches infinity of (x^2 + x - x^2) over sqrt(x^2 + x) + x, then x over x(sqrt(1 + 1/x) + 1), then 1 over sqrt(1 + 1/x) + 1.
 
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  • Three-line limit simplification, photographed from a printed book: lim as x approaches infinity of (x^2 + x - x^2) over sqrt(x^2 + x) + x, then x over x(sqrt(1 + 1/x) + 1), then 1 over sqrt(1 + 1/x) + 1.
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##\sqrt{x^2 + x} = \sqrt{x^2 + \frac{x^2}x} = \sqrt{x^2(1 + \frac 1 x)}##
Can you work out the rest?
 
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Mark44 said:
##\sqrt{x^2 + x} = \sqrt{x^2 + \frac{x^2}x} = \sqrt{x^2(1 + \frac 1 x)}##
Can you work out the rest?
That really helped.i know how to do rest.thanks:D
 
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