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

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Full solution

Q. Evaluate the expression for u=4u = 4.\newlineWrite your answer in simplest form.\newlineu−10−u−4=\frac{u - 10}{-u - 4} = __
  1. Identify expression: Identify the expression to be evaluated.\newlineThe given expression is (u−10)/(−u−4)(u - 10)/(-u - 4). We need to substitute uu with 44 and then simplify the expression.
  2. Substitute uu with 44: Substitute uu with 44 in the expression.\newlineSubstitute 44 for uu in (u−10)/(−u−4)(u - 10)/(-u - 4).\newlineExpression after substitution: (4−10)/(−4−4)(4 - 10)/(-4 - 4)
  3. Simplify numerator and denominator: Simplify the numerator and the denominator. (4−10)/(−4−4)=(−6)/(−8)(4 - 10)/(-4 - 4) = (-6)/(-8)
  4. Divide by greatest common divisor: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22. (−6)/(−8)=6/8(-6)/(-8) = 6/8
  5. Further simplify fraction: Further simplify the fraction by dividing both the numerator and the denominator by 22. \newline68=34\frac{6}{8} = \frac{3}{4}

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