# How do you factor #45x^2-20m^2#?

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To factor the expression (45x^2 - 20m^2), first identify the greatest common factor (GCF) of the terms. In this case, the GCF is 5. After factoring out the GCF, the expression becomes (5(9x^2 - 4m^2)).

Next, recognize that (9x^2 - 4m^2) is a difference of squares, which can be factored as ((3x)^2 - (2m)^2). Applying the difference of squares formula ((a^2 - b^2) = (a + b)(a - b)), we get:

((3x)^2 - (2m)^2 = (3x + 2m)(3x - 2m))

So, the factored form of (45x^2 - 20m^2) is (5(3x + 2m)(3x - 2m)).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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