Solve 2(-5)^3+2(-5)^2+5(-5)+3

$$2 ( - 5 ) ^ { 3 } + 2 ( - 5 ) ^ { 2 } + 5 ( - 5 ) + 3$$

Evaluate

$$-222$$

Solution Steps

Calculate -5 to the power of 3 and get -125.

$$2\left(-125\right)+2\left(-5\right)^{2}+5\left(-5\right)+3$$

Multiply 2 and -125 to get -250.

$$-250+2\left(-5\right)^{2}+5\left(-5\right)+3$$

Calculate -5 to the power of 2 and get 25.

$$-250+2\times 25+5\left(-5\right)+3$$

Multiply 2 and 25 to get 50.

$$-250+50+5\left(-5\right)+3$$

Add -250 and 50 to get -200.

$$-200+5\left(-5\right)+3$$

Multiply 5 and -5 to get -25.

$$-200-25+3$$

Subtract 25 from -200 to get -225.

$$-225+3$$

Add -225 and 3 to get -222.

$$-222$$

Factor

$$-222$$