Solve zquad2z/3+1

$$z \quad \frac { 2 z } { 3 } + 1$$

Evaluate

$$\frac{2z^{2}}{3}+1$$

Short Solution Steps

Express z\times \frac{2z}{3} as a single fraction.

$$\frac{z\times 2z}{3}+1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.

$$\frac{z\times 2z}{3}+\frac{3}{3}$$

Since \frac{z\times 2z}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{z\times 2z+3}{3}$$

Do the multiplications in z\times 2z+3.

$$\frac{2z^{2}+3}{3}$$

Factor

$$\frac{2z^{2}+3}{3}$$

Solution Steps

Factor out \frac{1}{3}. Polynomial 2z^{2}+3 is not factored since it does not have any rational roots.

$$\frac{2zz+3}{3}$$