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Express as a single fraction in its simplest form.

1+y-(y+2)/(y-1)

Express as a single fraction in its simplest form.\newline1+yy+2y1 1+y-\frac{y+2}{y-1}

Full solution

Q. Express as a single fraction in its simplest form.\newline1+yy+2y1 1+y-\frac{y+2}{y-1}
  1. Combine terms in numerator: Combine the terms in the numerator: 1+y(y+2)1 + y - (y + 2).
  2. Distribute negative sign: Distribute the negative sign to the terms inside the parentheses: 1+yy21 + y - y - 2.
  3. Simplify expression: Simplify the expression by combining like terms: 121 - 2.
  4. Final simplified expression: The simplified expression is now 1y1-\frac{1}{y-1}.

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