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Which of the following expressions is equivalent to (72)/(-24 z-8) ? Choose 1 answer: (A) (9)/(3z+1) (B) (9)/(-3z-1) (C) (9)/(-3z+1) (D) (9)/(-3z-8)

Which of the following expressions is equivalent to 72−24z−8 \frac{72}{-24 z-8} ?\newlineChoose 11 answer:\newline(A) 93z+1 \frac{9}{3 z+1} \newline(B) 9−3z−1 \frac{9}{-3 z-1} \newline(C) 9−3z+1 \frac{9}{-3 z+1} \newline(D) 9−3z−8 \frac{9}{-3 z-8}

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Full solution

Q. Which of the following expressions is equivalent to 72−24z−8 \frac{72}{-24 z-8} ?\newlineChoose 11 answer:\newline(A) 93z+1 \frac{9}{3 z+1} \newline(B) 9−3z−1 \frac{9}{-3 z-1} \newline(C) 9−3z+1 \frac{9}{-3 z+1} \newline(D) 9−3z−8 \frac{9}{-3 z-8}
  1. Factor out −8-8: Factor out −8-8 from the denominator: −24z−8=−8(3z+1)-24z - 8 = -8(3z + 1).
  2. Divide by −8-8: Now divide both the numerator and the denominator by −8-8: (72)/(−8)=−9(72)/(-8) = -9 and (3z+1)/(−8)=−(3z+1)/8(3z + 1)/(-8) = -(3z + 1)/8.
  3. Combine simplified fractions: Combine the simplified numerator and denominator: (−9)/(−(3z+1)/8)=(9)/(3z+1)(-9)/(-(3z + 1)/8) = (9)/(3z + 1).

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