factor \\( \\frac { 1 } { 2 } x + \\frac { 1 } { 2 } \\). if the expression cannot be factored, write cannot…

factor \\( \\frac { 1 } { 2 } x + \\frac { 1 } { 2 } \\). if the expression cannot be factored, write cannot be factored.

factor \\( \\frac { 1 } { 2 } x + \\frac { 1 } { 2 } \\). if the expression cannot be factored, write cannot be factored.

Answer

Explanation:

Step1: Find the greatest common factor

The greatest common factor of (\frac{1}{2}x) and (\frac{1}{2}) is (\frac{1}{2}).

Step2: Factor out the greatest common factor

Using the distributive property (ab + ac=a(b + c)), where (a=\frac{1}{2}), (b = x), and (c = 1), we have (\frac{1}{2}x+\frac{1}{2}=\frac{1}{2}(x + 1))

Answer:

(\frac{1}{2}(x + 1))