Solve 0.832^2-168^2/832-162

$$\frac { 0.832 ^ { 2 } - 168 ^ { 2 } } { 832 - 162 }$$

Evaluate

$$-\frac{220494592}{5234375}\approx -42.124339964$$

Solution Steps

Calculate 0.832 to the power of 2 and get 0.692224.

$$\frac{0.692224-168^{2}}{832-162}$$

Calculate 168 to the power of 2 and get 28224.

$$\frac{0.692224-28224}{832-162}$$

Subtract 28224 from 0.692224 to get -28223.307776.

$$\frac{-28223.307776}{832-162}$$

Subtract 162 from 832 to get 670.

$$\frac{-28223.307776}{670}$$

Expand \frac{-28223.307776}{670} by multiplying both numerator and the denominator by 1000000.

$$\frac{-28223307776}{670000000}$$

Reduce the fraction \frac{-28223307776}{670000000} to lowest terms by extracting and canceling out 128.

$$-\frac{220494592}{5234375}$$

Factor

$$-\frac{220494592}{5234375} = -42\frac{650842}{5234375} = -42.12433996417911$$