Question

simplify.\\(
\frac{7(7 - 2) + 5}{5^2 - 5}
\\)\
select the correct choice below and, if necessary, fill in the answer box to complete\
\\(\boldsymbol{\text{o a. } \frac{7(7 - 2) + 5}{5^2 - 5} = \square}\\)\
\\(\boldsymbol{\text{o b. }}\\) the expression is undefined.

Explanation:

Step1: Simplify numerator

First, calculate the expression inside the parentheses in the numerator: \(7 - 2 = 5\). Then multiply by 7: \(7\times5 = 35\). Add 5: \(35 + 5 = 40\). So the numerator becomes 40.

Step2: Simplify denominator

Calculate the exponent in the denominator: \(5^2 = 25\). Then subtract 5: \(25 - 5 = 20\). So the denominator becomes 20.

Step3: Divide numerator by denominator

Now divide the simplified numerator by the simplified denominator: \(\frac{40}{20} = 2\).

Answer:

A. \(\frac{7(7 - 2)+5}{5^2 - 5} = 2\)