Answer:
Perfect squared trinomial is: [tex](c-\frac{2}{10})^2- \frac{4}{100}[/tex]
Step-by-step explanation:
We need to Complete the square to make a perfect square trinomial.
[tex]c^2-\frac{2c}{5}[/tex]
For making it a perfect square it should be of form: [tex]a^2-2ab+b^2[/tex]
Looking at the given term it can be written as:
[tex]c^2-\frac{2c}{5}\\=c^2-2(c)(\frac{2}{10})[/tex]
So, we have to add (2/10)^2 on both sides
[tex]=c^2-2(c)(\frac{2}{10})+(\frac{2}{10})^2-(\frac{2}{10})^2\\=(c-\frac{2}{10})^2- (\frac{2}{10})^2\\=(c-\frac{2}{10})^2- \frac{4}{100}[/tex]
So, perfect squared trinomial is: [tex](c-\frac{2}{10})^2- \frac{4}{100}[/tex]
