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

u+77+u−77 \frac{u+7}{7}+\frac{u-7}{7} \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) u−u7 \frac{u-u}{7} \newline(B) u+u7 \frac{u+u}{7} \newline(C) 7+77 \frac{7+7}{7} \newline(D) 7−77 \frac{7-7}{7}

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Full solution

Q. u+77+u−77 \frac{u+7}{7}+\frac{u-7}{7} \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) u−u7 \frac{u-u}{7} \newline(B) u+u7 \frac{u+u}{7} \newline(C) 7+77 \frac{7+7}{7} \newline(D) 7−77 \frac{7-7}{7}
  1. Simplify Numerator: Now, we simplify the numerator by combining like terms. The +7+7 and −7-7 will cancel each other out.(u+7+u−7)=u+u+7−7=2u(u + 7 + u - 7) = u + u + 7 - 7 = 2uSo the expression simplifies to:2u7\frac{2u}{7}
  2. Match with Answer Choices: We can now match our simplified expression with the given answer choices. \newline(2u)/7(2u) / 7 corresponds to (u+u)/7(u + u) / 7, since 2u2u is the same as u+uu + u.

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