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How do you simplify # (9x^2-15xy)/(9x^2-25y^2)#?

Answer 1

Genesis Allen

I found: #(3x)/(3x+5y)#

We can write it as: #(3xcancel((3x-5y)))/((3x+5y)cancel((3x-5y)))=(3x)/(3x+5y)#

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Answer 2

Eva Abramson

To simplify the expression (9x^2-15xy)/(9x^2-25y^2), we can factor both the numerator and denominator. The numerator can be factored as 3x(3x-5y), and the denominator can be factored as (3x+5y)(3x-5y).

By canceling out the common factor of (3x-5y) in both the numerator and denominator, we get the simplified form of the expression as 3x/(3x+5y).

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Answer 3

Avery Alexander

To simplify (\frac{9x^2 - 15xy}{9x^2 - 25y^2}), factor both the numerator and the denominator. Then, cancel out common factors if possible. The simplified expression is (\frac{3x(3x - 5y)}{(3x - 5y)(3x + 5y)}). Cancelling out ((3x - 5y)) from the numerator and denominator, the final simplified expression is (\frac{3x}{3x + 5y}).

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Answer from HIX Tutor

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.