plz solve this. don't spam
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This can be factored by completing the square.
Recall the perfect square trinomial.
x² + 2xy + y² = ( x + y )²
1st and 3rd term are Perfect Squares.
x⁴+x²y²+y⁴
The middle term Should to be 2x²y² to Make.
( x² )²+x²y²+(y²)²
it is a perfect square , So add
x²y² - x²y²
Combine 2and and 4th Terms.
= (x²)²+x²y²+(y²)²+x²y²-x²y²
first three terms form a perfect square trinomial.
= (x²)²+2x²y²+(y²)²-x²y²
It is a different of 2 Squares , Now Factor.
= ( x² + y² + xy )( x² + y² + xy )
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