Math, asked by advamitdarekar, 9 months ago

find the value for expansion question for std 9​

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Answered by abhi569
0

Answer:

4  ;    52   ; 2702

Step-by-step explanation:

 ⇒ a = 1 / ( 4 - a )

⇒ ( 4 - a ) = 1 / a

⇒ 4 - a = 1 / a

4 = a + 1 / a

       Cube on both sides:

⇒ ( a + 1 / a )^3 = 4^3

⇒ a^3 + 1 / a^3 + 3( a * 1 / a )( a + 1 / a ) = 64

⇒ a^3 + 1 / a^3 + 3( a + 1 / a ) = 64

⇒ a^3 + 1 / a^3 + 3( 4 ) = 64

⇒ a^3 + 1 / a^3 + 12 = 64

a^3 + 1 / a^3 = 64 - 12 = 52

        Square on both sides:

⇒ ( a^3 + 1 / a^3 )^2 = 52^2

⇒ a^6 + 1 / a^6 + 2( a^3 * 1 / a^3 ) = 2704

⇒ a^6 + 1 / a^6 + 2( 1 ) = 2704

a^6 + 1 / a^6 = 2704 - 2 = 2702

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