1.

Factorize x⁴-14x²y²+y⁴

Answer»

Answer:

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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