Solve -1/2*25^2+25^2

$$- \frac { 1 } { 2 } \times 25 ^ { 2 } + 25 ^ { 2 }$$

Evaluate

$$\frac{625}{2}=312.5$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$-\frac{1}{2}\times 625+25^{2}$$

Express -\frac{1}{2}\times 625 as a single fraction.

$$\frac{-625}{2}+25^{2}$$

Fraction \frac{-625}{2} can be rewritten as -\frac{625}{2} by extracting the negative sign.

$$-\frac{625}{2}+25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$-\frac{625}{2}+625$$

Convert 625 to fraction \frac{1250}{2}.

$$-\frac{625}{2}+\frac{1250}{2}$$

Since -\frac{625}{2} and \frac{1250}{2} have the same denominator, add them by adding their numerators.

$$\frac{-625+1250}{2}$$

Add -625 and 1250 to get 625.

$$\frac{625}{2}$$

Factor

$$\frac{5 ^ {4}}{2} = 312\frac{1}{2} = 312.5$$