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I have a problem in solving this question
Q. Factorise x^4 - (y+z)^4
I have a problem in solving this question
Q. Factorise x^4 - (y+z)^4
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Solution
x4- (y+z)4
=(x2)2- ((y+z)2)2 // use of identity (a2-b2 ) =(a+b ) (a-b ) //
= (x2+ (y+z)2) (x2- (y+z)2 )
= (x+ y+z) (x- y-z) (x+ y+z) (x- y-z) // use of identity (a2-b2 ) =(a+b ) (a-b )
= (x+ y+z)2 (x- y-z)2
=(x2)2- ((y+z)2)2 // use of identity (a2-b2 ) =(a+b ) (a-b ) //
= (x2+ (y+z)2) (x2- (y+z)2 )
= (x+ y+z) (x- y-z) (x+ y+z) (x- y-z) // use of identity (a2-b2 ) =(a+b ) (a-b )
= (x+ y+z)2 (x- y-z)2
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