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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 7224z8 \frac{72}{-24 z-8} ?\newlineChoose 11 answer:\newline(A) 93z+1 \frac{9}{3 z+1} \newline(B) 93z1 \frac{9}{-3 z-1} \newline(C) 93z+1 \frac{9}{-3 z+1} \newline(D) 93z8 \frac{9}{-3 z-8}

Full solution

Q. Which of the following expressions is equivalent to 7224z8 \frac{72}{-24 z-8} ?\newlineChoose 11 answer:\newline(A) 93z+1 \frac{9}{3 z+1} \newline(B) 93z1 \frac{9}{-3 z-1} \newline(C) 93z+1 \frac{9}{-3 z+1} \newline(D) 93z8 \frac{9}{-3 z-8}
  1. Factor out 8-8: Factor out 8-8 from the denominator: 24z8=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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