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How do you simplify #(2x-5x+3)/(2x-4x+2)#?

Answer 1

Kennedy Adams

Question as Stated (and possibly/probably what was intended) #(2x-5x+3)/(2x-4x+2)# (and assuming #x!=1#)

#= (-3x+3)/(-2x+2)#

# = ((-3)(x-1))/((-2)(x-1)#

#=3/2#

Possibly Intentional Question (I have a lot of free time)

#(2x^2-5x+3)/(2x^2-4x+2)#

#=((2x-3)(x-1))/(2(x-1)^2)#

#= (2x-3)/(2x-2)#

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Answer 2

Avery Alexander

To simplify (2x-5x+3)/(2x-4x+2), we can combine like terms in the numerator and denominator. This gives us -3x+3/-2x+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.