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Factorise : x^(5)+y^(5)...

Factorise : `x^(5)+y^(5)`

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To factorize the expression \( x^5 + y^5 \), we can use the sum of cubes formula and some algebraic manipulation. Here’s a step-by-step solution: ### Step 1: Recognize the Sum of Powers The expression \( x^5 + y^5 \) can be rewritten using the identity for the sum of cubes. We know that: \[ x^5 + y^5 = (x + y)(x^4 - x^3y + x^2y^2 - xy^3 + y^4) \] ...
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