What is (-8i)(-5-6i) ?

The solution to (-8i)(-5-6i) is -48+40i

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simplify (-8i)(-5-6i)

simplify

(- 8 i) (- 5 - 6 i)

- 48 + 40 i

Solution steps

(- 8 i) (- 5 - 6 i)

Apply rule:

(- a) = - a

(- 8 i) = - 8 i

= - 8 i (- 5 - 6 i)

Apply the distributive law:

a (b - c) = ab - a c

- 8 i (- 5 - 6 i) = - 8 i (- 5) - (- 8 i) \cdot 6 i

= - 8 i (- 5) - (- 8 i) \cdot 6 i

Simplify

- 8 i (- 5) - (- 8 i) \cdot 6 i : 40 i - 48

= 40 i - 48

Rewrite in standard complex form:

- 48 + 40 i

= - 48 + 40 i

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