Answer: The simplify and expanded form of the polynomial is :
[tex]0.04x^2+0.25y^2-0.2xy[/tex]
Step-by-step explanation:
Since we have given that
[tex](0.2x-0.5y)^2[/tex]
As we know the formula
[tex]"(a-b)^2=a^2+b^2-2ab"[/tex]
So, we will apply this,
Here,
a = 0.2x
b = 0.5y
So, it becomes,
[tex](0.2x-0.5y)^2\\\\=(0.2x)^2+(0.5y)^2-2\times 0.2x\times 0.5y\\\\=0.04x^2+0.25y^2-0.2xy[/tex]
Hence, the simplify and expanded form of the polynomial is :
[tex]0.04x^2+0.25y^2-0.2xy[/tex]