fird the ralue \( 3 ^ { 30 } + 3 ^ { 29 } + 3 ^ { 28 } \) \( 3 ^ { 31 } + 3 ^ { 30 } - 3 ^ { 29 } \)

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Simplify:

\frac{3^{30} + 3^{29} + 3^{25}}{3^{31} + 3^{30} - 3^{29}} + \frac{2^{30} + 2^{29} + 2^{25}}{2^{31} + 2^{30} - 2^{29}}

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ind the solution quickly for find the value

Q. Find the value of

\frac{3^{30} + 3^{29} + 3^{28}}{3^{31} + 3^{30} - 3^{29}}

Q. Simplify:- a)

\sqrt{150} - \sqrt{48} + \sqrt{162}

3 \sqrt[3]{40} - 4 \sqrt[3]{320} - \sqrt[3]{5}

Show that :-

\frac{x^{a (b - c)}}{x^{b (a - c)}} \div {[\frac{x^{b}}{x^{a}}]}^{c} = 1

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The sum of 257 and 328 is approximately similar to the sum of 260 and 330.

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The value of tan

\{\cos^{- 1} \frac{1}{5 \sqrt{2}} - \sin^{- 1} \frac{4}{\sqrt{17}}\}

is
(a)

\frac{\sqrt{29}}{3}

(b)

\frac{29}{3}

(c)

\frac{\sqrt{3}}{29}

(d)

\frac{3}{29}

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496 : 204 :: 329 : ?

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