Solve x^2/4-1/12+y/24

$$\frac { x ^ { 2 } } { 4 } - \frac { 1 } { 12 } + \frac { y } { 24 }$$

Evaluate

$$\frac{6x^{2}+y-2}{24}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 12 is 12. Multiply \frac{x^{2}}{4} times \frac{3}{3}.

$$\frac{3x^{2}}{12}-\frac{1}{12}+\frac{y}{24}$$

Since \frac{3x^{2}}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3x^{2}-1}{12}+\frac{y}{24}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and 24 is 24. Multiply \frac{3x^{2}-1}{12} times \frac{2}{2}.

$$\frac{2\left(3x^{2}-1\right)}{24}+\frac{y}{24}$$

Since \frac{2\left(3x^{2}-1\right)}{24} and \frac{y}{24} have the same denominator, add them by adding their numerators.

$$\frac{2\left(3x^{2}-1\right)+y}{24}$$

Do the multiplications in 2\left(3x^{2}-1\right)+y.

$$\frac{6x^{2}-2+y}{24}$$

Factor

$$\frac{6x^{2}+y-2}{24}$$

Solution Steps

Factor out \frac{1}{24}.

$$\frac{6x^{2}-2+y}{24}$$