\(\left[\left(\dfrac{5}{2}\right)^2-2\left(\dfrac{-1}{3}\right)^2+2\right]-\left(\dfrac{-1}{3}\right)^3=\left[\dfrac{25}{4}-\dfrac{2}{9}+2\right]+\dfrac{1}{27}=\dfrac{289}{36}+\dfrac{1}{27}=\dfrac{871}{108}\)
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`@` `\text {Ans}`
`\downarrow`
`c)`
`[ (5/2)^2 - 2*(-1/3)^2 + 2] - (-1/3)^3`
`= (25/4 - 2*1/9 + 2) - (-1/27)`
`= (25/4 - 2/9 + 2) + 1/27`
`= 217/36 + 2 + 1/27`
`= 289/36 + 1/27`
`= 871/108`
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[(5/2)² - 2.(-1/3)² + 2] - (-1/3)³
= 25/4 - 2.1/9 + 2 + 1/27
= (25/4 + 2) - (2/9 - 1/27)
= 33/4 - 5/27
= 871/108
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