Solve (-5i)^3-2(-5i)^2+25(-5i)-50

$$( - 5 i ) ^ { 3 } - 2 ( - 5 i ) ^ { 2 } + 25 ( - 5 i ) - 50$$

Evaluate

$$0$$

Solution Steps

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

$$125i-2\times \left(-5i\right)^{2}+25\times \left(-5i\right)-50$$

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

$$125i-2\left(-25\right)+25\times \left(-5i\right)-50$$

Multiply 2 and -25 to get -50.

$$125i-\left(-50\right)+25\times \left(-5i\right)-50$$

The opposite of -50 is 50.

$$125i+50+25\times \left(-5i\right)-50$$

Do the additions.

$$25\times \left(-5i\right)+125i$$

Multiply 25 and -5i to get -125i.

$$-125i+125i$$

Add -125i and 125i to get 0.

$$0$$

Real Part

$$0$$

Solution Steps

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

$$Re(125i-2\times \left(-5i\right)^{2}+25\times \left(-5i\right)-50)$$

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

$$Re(125i-2\left(-25\right)+25\times \left(-5i\right)-50)$$

Multiply 2 and -25 to get -50.

$$Re(125i-\left(-50\right)+25\times \left(-5i\right)-50)$$

The opposite of -50 is 50.

$$Re(125i+50+25\times \left(-5i\right)-50)$$

Do the additions in 125i+50-50.

$$Re(25\times \left(-5i\right)+125i)$$

Multiply 25 and -5i to get -125i.

$$Re(-125i+125i)$$

Add -125i and 125i to get 0.

$$Re(0)$$

The real part of 0 is 0.

$$0$$