Question

Factorise : x⁴-y⁴+x²-y²

The right answer will be marked as brainliest and spammed answers will be reported​

Answer 1

x^4 +(x^2*y^2 )+y^4 + (x^2*y^2 )-(x^2*y^2)

=x^4+ 2(x^2*y^2) + y^4 - (x^2*y^2)

= {(X^2)^2 + 2 (x^2*y^2) + (y^2)^2 }- (x^2* y^2)

The above statement is in the form (a+ b)^2= a^2 + 2a*b +b^2

= {(x^2 + y^2)^2 }- (x^2 + y^2)

Taking (x^2 + y^2) common

= (x^2 + y^2)(x^2 +y^2 -1)..,

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