Answer:
[tex]0.01x^{2} +0.08xy+0.16y^{2}[/tex]
Step-by-step explanation:
For the following expression
([tex](0.1x + 0.4y)^{2}[/tex])}
First, write the multiplication factors:
[tex](0.1x + 0.4y)(0.1x + 0.4y)[/tex]
Then multiply by the first term 0.1x, and later by the second term 0.4y.
You can rewrite the multiplication like this:
[tex](0.1x + 0.4y)\\(0.1x + 0.4y)[/tex] =
[tex]0.01x^{2} + 0.04xy[/tex]
[tex]+0.04xy + 0.16y^{2}[/tex]
-----> Now add similar terms and you will get:
[tex]0.01x^{2} + 0.08xy + 0.16y^{2}[/tex]