Write the expression in standard form. three divided by quantity three minus twelve i.

3/(3 - 12i)

To simplify this, multiply both sides by (3 + 12i)

(3 - 12i)(3 + 12i)

Distributive property.

3(3 + 12i) - 12i(3 + 12i)

9 + 36i - 36i - 144i^2

Simplify.

9 - 144i^2

i^2 can be interpreted as -1.

9 + 144

Combine like terms.

153 is the simplified version of the bottom half of the expression.

Now for the top half.

3(3 + 12i)

Distributive property.

9 + 36i

We can simplify this further by factoring.

3(3 + 12i)/153

1 + 4i/17

1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)

Let me know if you have any other questions.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: