Solve 6x^2+8xy/5+y^2/25=

$$6 x ^ { 2 } + 8 x y / 5 + y ^ { 2 } / 25 =$$

Evaluate

$$\frac{8xy}{5}+\frac{y^{2}}{25}+6x^{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 6x^{2} times \frac{5}{5}.

$$\frac{5\times 6x^{2}}{5}+\frac{8xy}{5}+\frac{y^{2}}{25}$$

Since \frac{5\times 6x^{2}}{5} and \frac{8xy}{5} have the same denominator, add them by adding their numerators.

$$\frac{5\times 6x^{2}+8xy}{5}+\frac{y^{2}}{25}$$

Do the multiplications in 5\times 6x^{2}+8xy.

$$\frac{30x^{2}+8xy}{5}+\frac{y^{2}}{25}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 25 is 25. Multiply \frac{30x^{2}+8xy}{5} times \frac{5}{5}.

$$\frac{5\left(30x^{2}+8xy\right)}{25}+\frac{y^{2}}{25}$$

Since \frac{5\left(30x^{2}+8xy\right)}{25} and \frac{y^{2}}{25} have the same denominator, add them by adding their numerators.

$$\frac{5\left(30x^{2}+8xy\right)+y^{2}}{25}$$

Do the multiplications in 5\left(30x^{2}+8xy\right)+y^{2}.

$$\frac{150x^{2}+40xy+y^{2}}{25}$$

Factor

$$\frac{150x^{2}+40xy+y^{2}}{25}$$

Solution Steps

Factor out \frac{1}{25}.

$$\frac{150x^{2}+40xy+y^{2}}{25}$$