Solve (4.59)^2-4.23*4.23/4.59+4.23

$$\frac { ( 4.59 ) ^ { 2 } - 4.23 \times 4.23 } { 4.59 + 4.23 }$$

Evaluate

$$0.36$$

Solution Steps

Calculate 4.59 to the power of 2 and get 21.0681.

$$\frac{21.0681-4.23\times 4.23}{4.59+4.23}$$

Multiply 4.23 and 4.23 to get 17.8929.

$$\frac{21.0681-17.8929}{4.59+4.23}$$

Subtract 17.8929 from 21.0681 to get 3.1752.

$$\frac{3.1752}{4.59+4.23}$$

Add 4.59 and 4.23 to get 8.82.

$$\frac{3.1752}{8.82}$$

Expand \frac{3.1752}{8.82} by multiplying both numerator and the denominator by 10000.

$$\frac{31752}{88200}$$

Reduce the fraction \frac{31752}{88200} to lowest terms by extracting and canceling out 3528.

$$\frac{9}{25}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {2}} = 0.36$$