#(8xxsqrtx−8xxsqrtx+h)/h=?#

1 Answer
Aviv S.
Feb 18, 2018

The result is #1#.

Explanation:

A lot of things cancel out:

#color(white){color(black)( ((8xxsqrtx−8xxsqrtx+h)/h, qquad"The expression"), ((8xx(sqrtx−sqrtx)+h)/h, qquad"Factor out 8 from the expression"), ((8xx(0)+h)/h, qquad"The two like terms cancel out"), ((0+h)/h, qquad"8"xx"0 is just 0"), (h/h, "0"+"h is just h"), (1, h/h" is just 1")):}#

That's the result.

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