Question

x²+4y²++9z²-4xy+12yz+6zx

Please help with step by step explanation​

Answer 1

Answer:

we have,

x^2+4y^2+9z^2-4xy+12yz+6zx

=(-x)^2+ (2y)^2 + (3z)^2+2(-x).2y+2.2y.3z+2.3z(-x)

=[(-x)+2y+3z]^2

[using :a^2+b^2+2ab+2ca=(a+b+c)^2]

= (-x+2y+3z)^2

hope it helpful to you