Question

solve x to the power 9+y to the power 9

Answer 1

$= > {x}^{9} + {y}^{9} \: \: \: \: \: ...(given) \\ \\ = > { ({x}^{3} )}^{3} + { ({y}^{3} )}^{3}$
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USING ALGEBRAIC IDENTITY :-

=> (a³+b³) = [(a+b)(a²-ab+b²)]

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=> (x³)³ + (y³)³

=> [x³+y³].[(x³)²-x³y³+(y³)²]

=> [(x+y)(x²-xy+y²)][(x²)³+(y²)³-x³y³]

=> [(x+y)(x²-xy+y²)].[{(x²+y²)((x²)²+(y²)²-x²y²)} - x³y³]

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