Question

factorise using identity x^4 - y^4​

Answer 1

Answer:

x^4 - y^4 in factorised form is ( x^2 + y^2 )( x + y )( x - y ).

Step-by-step explanation:

= > x^4 - y^4

= > ( x^2 )^2 - ( y^2 )^2

From the identities of factorisation :

• a^2 - b^2 = ( a + b )( a - b )

= > ( x^2 + y^2 ) ( x^2 - y^2 )

Again using the same identity for factorising x^2 - y^2

= > ( x^2 + y^2 )( x + y )( x - y )

Therefore,

x^4 - y^4 in factorised form is ( x^2 + y^2 )( x + y )( x - y ).