Question

-2 . ( 1/30.32 + 1/32.34 + 1/34.36)

Answer 1

= \(\dfrac{-13007}{2040}\)

Answer 2

\(-2\left(\dfrac{1}{30\cdot32}+\dfrac{1}{32\cdot34}+\dfrac{1}{34\cdot36}\right)\)

\(=-2\cdot\dfrac{1}{2}\cdot\left(\dfrac{2}{30\cdot32}+\dfrac{2}{32\cdot34}+\dfrac{2}{34\cdot36}\right)\)

\(=-1\left(\dfrac{1}{30}-\dfrac{1}{32}+\dfrac{1}{32}-\dfrac{1}{34}+\dfrac{1}{34}-\dfrac{1}{36}\right)\)

\(=\dfrac{1}{36}-\dfrac{1}{30}=-\dfrac{1}{180}\)