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How do you combine #(2x-1)/(x-2)+(x-5)/(x-2)#?

Answer 1

You know that#2/7+3/7=5/7# It's the same thing. The denominator is the same so add the numerators #(2x-1+x-5)/(x-2)# Tidy it up #(3x-6)/(x-2)# Factiorise the numerator #3(x-2)/(x-2)# Cancel

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Answer 2

Jace Anderson

To combine the given expressions, (2x-1)/(x-2) and (x-5)/(x-2), we can simply add the numerators together and keep the common denominator. This gives us (2x-1 + x-5)/(x-2). Simplifying the numerator, we have (3x-6)/(x-2). Therefore, the combined expression is (3x-6)/(x-2).

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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.