Question 1074271
<pre>
Instead of doing it for you, here is one EXACTLY like the
one you have.  Only the numbers are changed.  Do yours step
by step as I have done this one.  If you have any trouble
just tell me in the email form below and I'll get back to 
you by email.

{{{y=4x^2-16x+25}}}

Factor 4 out of the first two terms

{{{y=4(x^2-4x)+25}}}

To complete the square:

1.  Begin with the coefficient of x.  That's -4
2.  Multiply it by 1/2.  That's (-4)(1/2) = -2
3.  Square it.  That's (-2)<sup>2</sup> = +4
4.  Add it and subtract it inside the parentheses: We put in +4-4

{{{y=4(x^2-4x+4-4)+25}}} 

We factor the first three terms inside the parentheses:

{{{y=4((x-2)(x-2)^""-4)+25}}}

The two factors are the same so we write the product 
as (x-2)<sup>2</sup>.

{{{y=4((x-2)^2-4)+25}}}

Now we remove the outer parentheses, by distributing,
leaving the (x-2)<sup>2</sup> intact:

{{{y=4(x-2)^2-16+25}}}

Combine the numbers -16 and +25 as +9

{{{y=4(x-2)^2+9}}}    <--answer

Now do yours using this as a step by step guide.

Edwin</pre>