Factorise the following expressions X^7y^7-xy
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Answer: Tiger Algebra{x^7y-xy^7} - Free Solver Simplifier that shows work Trying to factor as a Difference of Squares: 2.2 Factoring: x6 - y6. Theory: A Note: - AB + AB equals zero and is therefore eliminated from the expression.
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Answer:
to factorize x⁷y⁷ - xy
=> xy [ x⁶y⁶ - 1 ]
=> xy [ (x²y²)³ - 1³ ] [ x³ - y³ = (x-y)(x² + xy + y²) ]
=> xy [ (x²y² - 1)(x⁴y⁴ + x²y² + 1²)
=> xy [ {(xy)² - 1²} { x⁴y⁴ + x²y² + 1} ] [x²-y²=(x+y)(x-y)]
=> xy [ (xy + 1)(xy - 1) (x⁴y⁴ + x²y² + 1 ) ]
=> xy (xy + 1)(xy - 1)(x⁴y⁴ + x²y² + 1)
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