Solve 5y^2-15y^2-1/3

$$5 y ^ { 2 } - \frac { 15 y ^ { 2 } - 1 } { 3 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5y^{2} times \frac{3}{3}.

$$\frac{3\times 5y^{2}}{3}-\frac{15y^{2}-1}{3}$$

Since \frac{3\times 5y^{2}}{3} and \frac{15y^{2}-1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 5y^{2}-\left(15y^{2}-1\right)}{3}$$

Do the multiplications in 3\times 5y^{2}-\left(15y^{2}-1\right).

$$\frac{15y^{2}-15y^{2}+1}{3}$$

Combine like terms in 15y^{2}-15y^{2}+1.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{15y^{2}-\left(15y^{2}-1\right)}{3}$$