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rewrite \\(\\frac{z + 4}{z + 4}\\) in lowest terms. \\(\\frac{4\\left(\…

Question

rewrite \\(\frac{z + 4}{z + 4}\\) in lowest terms. \\(\frac{4\left(\cancel{z + 4}\
ight)}{3\left(\cancel{z + 4}\
ight)}\\)

Explanation:

Step1: Identify non-zero common factor

The numerator and denominator share the common factor \(z+4\), where \(z
eq -4\) (to avoid division by zero).

Step2: Cancel common factor

Cancel \(z+4\) from numerator and denominator:
$$\frac{4\cancel{(z+4)}}{3\cancel{(z+4)}} = \frac{4}{3}$$

Answer:

$\frac{4}{3}$ (with the restriction \(z
eq -4\))