Math, asked by shivanipawar848, 10 months ago

Factorise the following expressions X^7y^7-xy

Answers

Answered by 28jinj
0

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.

Answered by biligiri
5

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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