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(0.75)31-0.75+0.75+0.752+1 = ?

Q: (0.75)31-0.75+0.75+0.752+1 = ?

( 0 . 75 ) 3 1 - 0 . 75 + 0 . 75 + ( 0 . 75 ) 2 + 1 = ( 0 . 75 ) 3 + ( 1 - 0 . 75 ) ( 1 ) 2 + ( 0 . 75 ) 2 + 1 × 0 . 75 1 - 0 . 75 = ( 0 . 75 ) 3 + ( 1 ) 3 - ( 0 . 75 ) 3 1 - 0 . 75 = 1 0 . 25 = 4 = 2

Correct Answer: 2

Explanation:

$\frac{(0.75) 3}{1 - 0.75} + 0.75 + (0.75) 2 + 1 = \frac{(0.75) 3 + (1 - 0.75) (1) 2 + (0.75) 2 + 1 \times 0.75}{1 - 0.75}$

= $\frac{(0.75) 3 + (1) 3 - (0.75) 3}{1 - 0.75} = \frac{1}{0.25} = 4 = 2$

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(0.75)31-0.75+0.75+0.752+1 = ?

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