Question

please factories this, see pic.

Answer 1

$Answer: \\ \\ Now, \: \: {x}^{6} - {y}^{6} \\ \\ = ( {x}^{3} + {y}^{3} )( {x}^{3} - {y}^{3} ) \\ \\ = (x + y)( {x}^{2} - xy + {y}^{2} ) \\ (x - y)( {x}^{2} + xy + {y}^{2} ), \\ \\ which \: \: is \: \: the \: \: required \\ factorization.$

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Answer 2

Hey dear!!


Here is yr answer......


=> x^6 - y^6

=> (x³)² - (y³)²


It is in the form of -----


a²-b² = (a+b) (a-b)

a = x³ , b = y³



=> (x³+y³) (x³-y³)

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

=> (x²-y²) (x²-xy+y²) (x²+xy+y²)



Hope it hlpz...