Solve G(6000)=-1/4(6000)^3+6(6000)^2-6(6000)-280=

$$G ( 6000 ) = - 1 / 4 ( 6000 ) ^ { 3 } + 6 ( 6000 ) ^ { 2 } - 6 ( 6000 ) - 280 =$$

Evaluate

$$-53784036280$$

Solution Steps

Calculate 6000 to the power of 3 and get 216000000000.

$$-\frac{1}{4}\times 216000000000+6\times 6000^{2}-6\times 6000-280$$

Express -\frac{1}{4}\times 216000000000 as a single fraction.

$$\frac{-216000000000}{4}+6\times 6000^{2}-6\times 6000-280$$

Divide -216000000000 by 4 to get -54000000000.

$$-54000000000+6\times 6000^{2}-6\times 6000-280$$

Calculate 6000 to the power of 2 and get 36000000.

$$-54000000000+6\times 36000000-6\times 6000-280$$

Multiply 6 and 36000000 to get 216000000.

$$-54000000000+216000000-6\times 6000-280$$

Add -54000000000 and 216000000 to get -53784000000.

$$-53784000000-6\times 6000-280$$

Multiply 6 and 6000 to get 36000.

$$-53784000000-36000-280$$

Subtract 36000 from -53784000000 to get -53784036000.

$$-53784036000-280$$

Subtract 280 from -53784036000 to get -53784036280.

$$-53784036280$$

Factor

$$-53784036280$$