Solve -35^3/6+20(35)+12000

$$- \frac{ { 35 }^{ 3 } }{ 6 } +20(35)+12000$$

Evaluate

$$\frac{33325}{6}\approx 5554.166666667$$

Solution Steps

Calculate 35 to the power of 3 and get 42875.

$$-\frac{42875}{6}+20\times 35+12000$$

Multiply 20 and 35 to get 700.

$$-\frac{42875}{6}+700+12000$$

Convert 700 to fraction \frac{4200}{6}.

$$-\frac{42875}{6}+\frac{4200}{6}+12000$$

Since -\frac{42875}{6} and \frac{4200}{6} have the same denominator, add them by adding their numerators.

$$\frac{-42875+4200}{6}+12000$$

Add -42875 and 4200 to get -38675.

$$-\frac{38675}{6}+12000$$

Convert 12000 to fraction \frac{72000}{6}.

$$-\frac{38675}{6}+\frac{72000}{6}$$

Since -\frac{38675}{6} and \frac{72000}{6} have the same denominator, add them by adding their numerators.

$$\frac{-38675+72000}{6}$$

Add -38675 and 72000 to get 33325.

$$\frac{33325}{6}$$

Factor

$$\frac{5 ^ {2} \cdot 31 \cdot 43}{2 \cdot 3} = 5554\frac{1}{6} = 5554.166666666667$$