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(p+7)/(7)-(p-7)/(7)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A) 
(p-p)/(7)
(B) 
(p+p)/(7)
(C) 
(7+7)/(7)
(D) 
(7-7)/(7)

p+77p77 \frac{p+7}{7}-\frac{p-7}{7} \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) pp7 \frac{p-p}{7} \newline(B) p+p7 \frac{p+p}{7} \newline(C) 7+77 \frac{7+7}{7} \newline(D) 777 \frac{7-7}{7}

Full solution

Q. p+77p77 \frac{p+7}{7}-\frac{p-7}{7} \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) pp7 \frac{p-p}{7} \newline(B) p+p7 \frac{p+p}{7} \newline(C) 7+77 \frac{7+7}{7} \newline(D) 777 \frac{7-7}{7}
  1. Distribute Subtraction: Now, we distribute the subtraction across the numerators.\newline(p+7)(p7)=p+7p+7(p+7) - (p-7) = p + 7 - p + 7
  2. Combine Like Terms: Next, we combine like terms in the numerator. pp+7+7=0+14=14p - p + 7 + 7 = 0 + 14 = 14
  3. Place Over Common Denominator: Now, we place the simplified numerator over the common denominator. 147\frac{14}{7}
  4. Simplify Fraction: Finally, we simplify the fraction by dividing the numerator by the denominator. 14/7=214 / 7 = 2

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