SOLUTION: Can you explain to me how factoring 36x^2-100 = 4(3x-5)(3x+5) Its alittle confusing to me

Question 197177: Can you explain to me how factoring 36x^2-100 = 4(3x-5)(3x+5) Its alittle confusing to me
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
This is difference of 2 squares (36x^2 is 6x*6x) and 100 is 10*10.
Usually that would be enough to say
=
and call is a day. But in this case, you can see that each term includes a common factor of 2.
= etc.
So

Alternatively, you might have seen that 36 and 100 are both products of 2 squares.
36 = 9*4
100 = 25*4
If you factor out the 4, you are still left with a difference of 2 squares

Which simplifies to the same result.
All this just confirms that in mathematics, there are many ways to get to the same answer (hopefully correct) answer.
Hope that helps

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