Simplify the rational expression. State any excluded values. 7x-14/x-2

[tex]\bf \cfrac{7x-14}{x-2}\implies \stackrel{common~factoring}{\cfrac{7(x-2)}{x-2}}\implies 7[/tex]

well, the only exclusion I can see is that x ≠ 2, because if "x" ever becomes 2, the denominator goes to 0 and the fraction goes poof.

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SociometricStar SociometricStar · Answer 2 · 2019-06-14T12:33:06+02:00

Answer:

the simplified expression = 7

and the exclude value =2.

Step-by-step explanation:

The rational expression is [tex]\frac{7x-14}{x-2}[/tex]

The rational function is undefined id denominator is zero.

Therefore, the excluded value is

x - 2 =0

x = 2

Now, we simplify the expression

Factor out GCF from numerator. The GCF is 7

[tex]\frac{7(x-2)}{x-2}[/tex]

Now, cancel out the common term in numerator and denominator

[tex]7[/tex]

Therefore, the simplified expression is 7 and the exclude value is 2.