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In Mathematics / Middle School | 2014-08-01

Simplify the expression:

\[
\frac{1}{x} + \frac{1}{x+h}
\]

Asked by Anonymous

Answer (3)

1/x+1/x+h =1*(x+h)/x(x+h)+1*x/x(x+h) =2x+h/x(x+h)

Answered by Anonymous | 2024-06-10

You bring to a common denominator and the numerator and denominator oversimplifying: x 1 ​ + x + h 1 ​ = x ( x + h ) 1 ∗ ( x + h ) ​ + x ( x + h ) 1 ∗ x ​ = x ( x + h ) 2 x + h ​

Answered by MattD | 2024-06-10

The expression x 1 ​ + x + h 1 ​ can be simplified to x ( x + h ) 2 x + h ​ by finding a common denominator and combining the fractions. This process involves rewriting each fraction to have the same denominator and then adding them together. The final result is a single fraction that represents the sum of the two original fractions.
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Answered by Anonymous | 2024-12-26