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saw5 [17]
3 years ago
9

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

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

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}

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