9x^4+12x^2y^2+4y^49-12(x+y)+4(x+y)^2x^2+2x(y+z)+(y+z)^236^2+72*14+14^2

Question

9x^4+12x^2y^2+4y^4 9-12(x+y)+4(x+y)^2 x^2+2x(y+z)+(y+z)^2 36^2+72*14+14^2

Answer 1

9x^4+12x²y²+4y^4
=(3x²)²+12x²y²+(2y²)²
=(3x²+2y²)²
9-12(x+y)+4(x+y)²
=3²-12(x+y)+[2(x+y)]²
=(2x+2y-3)²
x²+2x(y+z)+(y+z)²
=(x+y+z)²
36²+72*14+14²
=36²+2*36*14+14²
=(36+14)²
=50²
=2500