Solve left(17--4right)3-{left(25+1/2right)}^2

$$\left( 17--4 \right) 3- { \left(25+ \frac{ 1 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$-\frac{2349}{4}=-587.25$$

Solution Steps

The opposite of -4 is 4.

$$\left(17+4\right)\times 3-\left(25+\frac{1}{2}\right)^{2}$$

Add 17 and 4 to get 21.

$$21\times 3-\left(25+\frac{1}{2}\right)^{2}$$

Multiply 21 and 3 to get 63.

$$63-\left(25+\frac{1}{2}\right)^{2}$$

Add 25 and \frac{1}{2} to get \frac{51}{2}.

$$63-\left(\frac{51}{2}\right)^{2}$$

Calculate \frac{51}{2} to the power of 2 and get \frac{2601}{4}.

$$63-\frac{2601}{4}$$

Subtract \frac{2601}{4} from 63 to get -\frac{2349}{4}.

$$-\frac{2349}{4}$$

Factor

$$-\frac{2349}{4} = -587\frac{1}{4} = -587.25$$