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Evaluate the expression for u=4u = 4.\newlineWrite your answer in simplest form.\newlineu−10−u−5=\frac{u - 10}{-u - 5} = __

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Full solution

Q. Evaluate the expression for u=4u = 4.\newlineWrite your answer in simplest form.\newlineu−10−u−5=\frac{u - 10}{-u - 5} = __
  1. Substitute u=4u = 4: Substitute u=4u = 4 into the expression u−10−u−5\frac{u - 10}{-u - 5}.\newlineExpression after substitution: 4−10−4−5\frac{4 - 10}{-4 - 5}
  2. Simplify numerator and denominator: Simplify the numerator and the denominator.\newlineSimplify the numerator: 4−10=−64 - 10 = -6\newlineSimplify the denominator: −4−5=−9-4 - 5 = -9\newlineExpression becomes: (−6)/(−9)(-6)/(-9)
  3. Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33.
    (−6)/(−9)=(6/9)(-6)/(-9) = (6/9) after removing the negative sign from both the numerator and the denominator.
    Now divide both by 33: (6/3)/(9/3)=2/3(6/3)/(9/3) = 2/3

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