Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

Answer 1

Answer:

Perfect squared trinomial is: $(c-\frac{2}{10})^2- \frac{4}{100}$

Step-by-step explanation:

We need to Complete the square to make a perfect square trinomial.

$c^2-\frac{2c}{5}$

For making it a perfect square it should be of form: $a^2-2ab+b^2$

Looking at the given term it can be written as:

$c^2-\frac{2c}{5}\\=c^2-2(c)(\frac{2}{10})$

So, we have to add (2/10)^2 on both sides

$=c^2-2(c)(\frac{2}{10})+(\frac{2}{10})^2-(\frac{2}{10})^2\\=(c-\frac{2}{10})^2- (\frac{2}{10})^2\\=(c-\frac{2}{10})^2- \frac{4}{100}$

So, perfect squared trinomial is: $(c-\frac{2}{10})^2- \frac{4}{100}$