Solve 3xdiv2x-1=

$$3x \div 2x-1=$$

Evaluate

$$\frac{3x^{2}}{2}-1$$

Short Solution Steps

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

$$\frac{3xx}{2}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{3xx}{2}-\frac{2}{2}$$

Since \frac{3xx}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3xx-2}{2}$$

Do the multiplications in 3xx-2.

$$\frac{3x^{2}-2}{2}$$

Factor

$$\frac{3x^{2}-2}{2}$$

Solution Steps

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

$$\frac{3xx-2}{2}$$