Factorise:-
x⁴-3x²+9y⁴
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x⁴-3x²y²+9y⁴
= x⁴+9y⁴-3x²y²
= (x²)²+(3y²)²-3x²y²
= (x²+3y²)²-2.x².3y²-3x²y²
= (x²+3y²)²-6x²y²-3x²y²
= (x²+3y²)²-9x²y²
= (x²+3y²)²-(3xy)²
= (x²+3y²+3xy)(x²+3y²-3xy)
= (x²+3xy+3y²)(x²-3xy+3y²) Ans.
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