Question

simplify.
(-2 - 2i)(2 + 5i)
write your answer in the form a + bi.

Explanation:

Step1: Expand using FOIL method

$(-2)(2) + (-2)(5i) + (-2i)(2) + (-2i)(5i)$

Step2: Calculate each term

$-4 -10i -4i -10i^2$

Step3: Substitute $i^2=-1$

$-4 -14i -10(-1)$

Step4: Simplify constants

$-4 -14i +10$

Step5: Combine like terms

$6 -14i$

Answer:

$6 - 14i$