Solve 6+2x+1^2/2

$$6+2x+ \frac{ { 1 }^{ 2 } }{ 2 }$$

Evaluate

$$2x+\frac{13}{2}$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$6+2x+\frac{1}{2}$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{12}{2}+2x+\frac{1}{2}$$

Since \frac{12}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{2}+2x$$

Add 12 and 1 to get 13.

$$\frac{13}{2}+2x$$

Factor

$$\frac{4x+13}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{13+4x}{2}$$

Consider 12+4x+1. Multiply and combine like terms.

$$4x+13$$

Rewrite the complete factored expression.

$$\frac{4x+13}{2}$$