Solve 2.999^2-2.999-6/2.999-3

$$\frac{ { 2.999 }^{ 2 } -2.999-6 }{ 2.999-3 }$$

Evaluate

$$4.999$$

Solution Steps

Calculate 2.999 to the power of 2 and get 8.994001.

$$\frac{8.994001-2.999-6}{2.999-3}$$

Subtract 2.999 from 8.994001 to get 5.995001.

$$\frac{5.995001-6}{2.999-3}$$

Subtract 6 from 5.995001 to get -0.004999.

$$\frac{-0.004999}{2.999-3}$$

Subtract 3 from 2.999 to get -0.001.

$$\frac{-0.004999}{-0.001}$$

Expand \frac{-0.004999}{-0.001} by multiplying both numerator and the denominator by 1000000.

$$\frac{-4999}{-1000}$$

Fraction \frac{-4999}{-1000} can be simplified to \frac{4999}{1000} by removing the negative sign from both the numerator and the denominator.

$$\frac{4999}{1000}$$

Factor

$$\frac{4999}{2 ^ {3} \cdot 5 ^ {3}} = 4\frac{999}{1000} = 4.999$$