Respuesta :

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]

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