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Evaluate the expression for p=10p = 10.\newlineWrite your answer in simplest form.\newlinep−4−p+8=\frac{p - 4}{-p + 8} = __

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Full solution

Q. Evaluate the expression for p=10p = 10.\newlineWrite your answer in simplest form.\newlinep−4−p+8=\frac{p - 4}{-p + 8} = __
  1. Identify Expression: Identify the expression after substituting p=10p = 10\newlineSubstitute 1010 for pp in p−4−p+8\frac{p - 4}{-p + 8}.\newline10−4−10+8\frac{10 - 4}{-10 + 8}
  2. Substitute and Simplify: Evaluate 10−410 - 4\newline10−4=610 - 4 = 6\newlineNumerator: 66
  3. Evaluate Numerator: Evaluate −10+8-10 + 8−10+8=−2-10 + 8 = -2Denominator: −2-2
  4. Evaluate Denominator: 6(−2)\frac{6}{(-2)}\newlineRewrite the fraction in simplest form.\newlineDivide both the numerator and the denominator by their greatest common divisor, which is 22.\newline6(−2)=−3\frac{6}{(-2)} = -3

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