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ad-work [718]
3 years ago
15

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

Mathematics
2 answers:
blagie [28]3 years ago
8 0
\bf \cfrac{7x-14}{x-2}\implies \stackrel{common~factoring}{\cfrac{7(x-2)}{x-2}}\implies 7

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.
zimovet [89]3 years ago
6 0

Answer:

the simplified expression = 7

and the exclude value =2.

Step-by-step explanation:

The rational expression is \frac{7x-14}{x-2}

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

\frac{7(x-2)}{x-2}

Now, cancel out the common term in numerator and denominator

7

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

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