Question

Expand the polynomials and simplify.(0.2x–0.5y)^2

Answer 1

Answer: The simplify and expanded form of the polynomial is :

$0.04x^2+0.25y^2-0.2xy$

Step-by-step explanation:

Since we have given that

$(0.2x-0.5y)^2$

As we know the formula

$"(a-b)^2=a^2+b^2-2ab"$

So, we will apply this,

Here,

a = 0.2x

b = 0.5y

So, it becomes,

$(0.2x-0.5y)^2\\\\=(0.2x)^2+(0.5y)^2-2\times 0.2x\times 0.5y\\\\=0.04x^2+0.25y^2-0.2xy$

Hence, the simplify and expanded form of the polynomial is :

$0.04x^2+0.25y^2-0.2xy$