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Expansion of (x-y)^2

9м0+9-1-9-2+9...

Question

9^0+9^-1-9^-2+9^1/2-9^-1/2

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Solution

1+ 1/9 - 1/81 + 3 - 1/3
=(81+9 - 1+ 243 - 27)/81
= 305/81

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Q. Show that LHS=RHS i.e.

\frac{2}{9} \times 3 = \frac{2}{9} \times \frac{3}{1} = \frac{2 \times 3}{9 \times 1} = \frac{6}{9} = \frac{2}{3}

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Solve using properties 1/7×2/9-3/14×1/9+2/9×1/14 .

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number 9 preceded by 1 and succeeded by 7 which is not followed by 5 ?

Q. Is 2/5 (1/9 +2/5 ) = 2/5 *1/9 + 2/5 * 2/5 ?

\frac{1}{9} + \frac{2}{9}

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