x^2-x+1/4 x^2-6x+9 25y^2-80y+64 (x-y)^2-10(x-y)+25 -4x^2+12x
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x^2-x+1/4 x^2-6x+9 25y^2-80y+64 (x-y)^2-10(x-y)+25 -4x^2+12xy-9y^2 9x^4+12x^2y^2+4y^4
x^2-x+1/4
=x²-2x×1/2+(1/2)²
=(x-1/2)²
x^2-6x+9
=x²-2×x×3+3²
=(x-3)²
25y^2-80y+64
=(5y)²-2×5y×8+8²
=(5y-8)²
(x-y)^2-10(x-y)+25
=[(x-y)-5]²
=(x-y-5)²
-4x^2+12xy-9y^2
=-(4x²-12xy-9y²)
=-(2x-3y)²
9x^4+12x^2y^2+4y^4
=(3x²)²+2×3x²×2y²+(2y²)²
=(3x²+2y²)²
=x²-2x×1/2+(1/2)²
=(x-1/2)²
x^2-6x+9
=x²-2×x×3+3²
=(x-3)²
25y^2-80y+64
=(5y)²-2×5y×8+8²
=(5y-8)²
(x-y)^2-10(x-y)+25
=[(x-y)-5]²
=(x-y-5)²
-4x^2+12xy-9y^2
=-(4x²-12xy-9y²)
=-(2x-3y)²
9x^4+12x^2y^2+4y^4
=(3x²)²+2×3x²×2y²+(2y²)²
=(3x²+2y²)²
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