Solve 35(9095)-(551)^2/35(35-1)

$$\frac { 35 ( 9095 ) - ( 551 ) ^ { 2 } } { 35 ( 35 - 1 ) }$$

Evaluate

$$\frac{7362}{595}\approx 12.373109244$$

Solution Steps

Multiply 35 and 9095 to get 318325.

$$\frac{318325-551^{2}}{35\left(35-1\right)}$$

Calculate 551 to the power of 2 and get 303601.

$$\frac{318325-303601}{35\left(35-1\right)}$$

Subtract 303601 from 318325 to get 14724.

$$\frac{14724}{35\left(35-1\right)}$$

Subtract 1 from 35 to get 34.

$$\frac{14724}{35\times 34}$$

Multiply 35 and 34 to get 1190.

$$\frac{14724}{1190}$$

Reduce the fraction \frac{14724}{1190} to lowest terms by extracting and canceling out 2.

$$\frac{7362}{595}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 409}{5 \cdot 7 \cdot 17} = 12\frac{222}{595} = 12.37310924369748$$