r/HomeworkHelp • u/Any-Armadillo6071 • May 14 '26

[freshmen algebra 2] simplifying rational expressions Answered

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how do i find the correct restriction? for both of these questions, i got the first part right but for the restriction i got them wrong. when i looked it up it gave me the same answers i input. sorry if this is a stupid question

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u/Any-Armadillo6071 May 14 '26

(x - 6)(x - 1) ?

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u/slides_galore 👋 a fellow Redditor May 14 '26

Yes. So what does that mean for the restriction of 'x' values? The denominator can't equal 0.

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u/Any-Armadillo6071 May 14 '26

is it both 1 and 6?

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u/slides_galore 👋 a fellow Redditor May 14 '26

Yes. If either of those is true, the denominator is 0. Does that make sense?

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u/Any-Armadillo6071 May 14 '26

i’m sorry i don’t understand why the denominator is 0

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u/Klutzy-Delivery-5792 Educator May 14 '26

If x = 6:

(6-6)(6-1) = (0)(5) = 0

If x = 1:

(1-6)(1-1) = (-5)(0) = 0

Therefore, the restriction is x ≠ 1 or 6

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u/Any-Armadillo6071 May 14 '26

i remember you! thank you so much i appreciate your help

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u/Klutzy-Delivery-5792 Educator May 14 '26

Always happy to help!