Question

a⁴- (a+b)⁴

factorise these expressions ​

Answer 1

✌Hey MaTe✌

Solution :

a⁴ - ( b + c )⁴

= ( a² )² - [ ( b + c )² ]²

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By algebraic identity :

x² - y² = ( x + y )( x - y )

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= [ a² + ( b + c )² ] [ a² - ( b + c )² ]

= ( a² + b² + c² + 2bc ){ [a+(b+c)][a-(b+c)]}

=( a²+b²+c²+2bc )( a+b+c )( a-b-c )

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