Factorise x⁴+4x²y²+4y⁴
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x cube plus y cube... thankssss
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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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