SOLUTION: factor by grouping 4m^2n^2-25h^2n^2-4m^2+25h^2 show solution

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Question 1086718: factor by grouping 4m^2n^2-25h^2n^2-4m^2+25h^2 show solution
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!

4m%5E2n%5E2-25h%5E2n%5E2-4m%5E2%2B25h%5E2

Factor n² out of the first two terms:

n%5E2%284m%5E2-25h%5E2%29-4m%5E2%2B25h%5E2

Factor -1 out of the last two terms:

n%5E2%284m%5E2-25h%5E2%29-1%284m%5E2-25h%5E2%29

Factor out the common factor (4m²-25h²)

%284m%5E2-25h%5E2%29%28n%5E2-1%29

Since each of the parentheses contains the difference
of two squares we can factor each as the product of the
difference and sum of the square roots:

%282m-5h%5E%22%22%29%282m%2B5h%5E%22%22%29%28n%5E%22%22-1%29%28n%5E%22%22%2B1%29

Edwin