Solve frac{7}34^2+(y+9)^2/11=

$$\frac { 7 } { 34 } ^ { 2 } + \frac { ( y + 9 ) ^ { 2 } } { 11 } =$$

Evaluate

$$\frac{\left(y+9\right)^{2}}{11}+\frac{49}{1156}$$

Short Solution Steps

Calculate \frac{7}{34} to the power of 2 and get \frac{49}{1156}.

$$\frac{49}{1156}+\frac{\left(y+9\right)^{2}}{11}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 1156 and 11 is 12716. Multiply \frac{49}{1156} times \frac{11}{11}. Multiply \frac{\left(y+9\right)^{2}}{11} times \frac{1156}{1156}.

$$\frac{49\times 11}{12716}+\frac{1156\left(y+9\right)^{2}}{12716}$$

Since \frac{49\times 11}{12716} and \frac{1156\left(y+9\right)^{2}}{12716} have the same denominator, add them by adding their numerators.

$$\frac{49\times 11+1156\left(y+9\right)^{2}}{12716}$$

Do the multiplications in 49\times 11+1156\left(y+9\right)^{2}.

$$\frac{539+1156y^{2}+20808y+93636}{12716}$$

Combine like terms in 539+1156y^{2}+20808y+93636.

$$\frac{94175+1156y^{2}+20808y}{12716}$$

Expand

$$\frac{y^{2}}{11}+\frac{18y}{11}+\frac{94175}{12716}$$

Short Solution Steps

Calculate \frac{7}{34} to the power of 2 and get \frac{49}{1156}.

$$\frac{49}{1156}+\frac{\left(y+9\right)^{2}}{11}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 1156 and 11 is 12716. Multiply \frac{49}{1156} times \frac{11}{11}. Multiply \frac{\left(y+9\right)^{2}}{11} times \frac{1156}{1156}.

$$\frac{49\times 11}{12716}+\frac{1156\left(y+9\right)^{2}}{12716}$$

Since \frac{49\times 11}{12716} and \frac{1156\left(y+9\right)^{2}}{12716} have the same denominator, add them by adding their numerators.

$$\frac{49\times 11+1156\left(y+9\right)^{2}}{12716}$$

Do the multiplications in 49\times 11+1156\left(y+9\right)^{2}.

$$\frac{539+1156y^{2}+20808y+93636}{12716}$$

Combine like terms in 539+1156y^{2}+20808y+93636.

$$\frac{94175+1156y^{2}+20808y}{12716}$$