SOLUTION: Please help me factor completely: {{{(y-5)^2-36q^2}}} Thank you.

Question 206660: Please help me factor completely:

Thank you.
Found 2 solutions by Marth, jim_thompson5910:
Answer by Marth(57) (Show Source): You can put this solution on YOUR website!
You have the difference of two squares:
-

For any two squares and , =
So for , and
=
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Let

Replace with "z"

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

Now plug in

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Answer:

So completely factors to

In other words
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