SOLUTION: Emily Factored 16x^2-36 as (4x-6)^2 Was she correct? EXPLAIN

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Question 937073: Emily Factored 16x^2-36 as (4x-6)^2

Was she correct? EXPLAIN
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!

No! Because 

%284x-6%29%5E2=%284x-6%29%284x-6%29=16x%5E2-24x-24x%2B36+=16x%5E2-48x%2B36 which is not 16x%5E2-36

The correct way to factor 16x%5E2-36 is

First take out the GCF which is 4, getting 4%284x%5E2-9%29 then
that is the difference of squares which factors as the difference and
sum of the square roots, and the result is 4%282x-3%292x%2B3%29.

Edwin