Solve 8,12^2-1,88^2/40,62-9,44

$$\frac { 8,12 ^ { 2 } - 1,88 ^ { 2 } } { 40,62 - 9,44 }$$

Evaluate

$$-\frac{329600}{1559}\approx -211,417575369$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\frac{8\times 144-1\times 88^{2}}{40,62-9,44}$$

Multiply 8 and 144 to get 1152.

$$\frac{1152-1\times 88^{2}}{40,62-9,44}$$

Calculate 88 to the power of 2 and get 7744.

$$\frac{1152-1\times 7744}{40,62-9,44}$$

Multiply 1 and 7744 to get 7744.

$$\frac{1152-7744}{40,62-9,44}$$

Subtract 7744 from 1152 to get -6592.

$$\frac{-6592}{40,62-9,44}$$

Subtract 9,44 from 40,62 to get 31,18.

$$\frac{-6592}{31,18}$$

Expand \frac{-6592}{31,18} by multiplying both numerator and the denominator by 100.

$$\frac{-659200}{3118}$$

Reduce the fraction \frac{-659200}{3118} to lowest terms by extracting and canceling out 2.

$$-\frac{329600}{1559}$$

Factor

$$-\frac{329600}{1559} = -211\frac{651}{1559} = -211.41757536882616$$