What is 9x-7i^3(3x-7u) ?

The solution to 9x-7i^3(3x-7u) is 9x+(21x-49u)i

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simplify 9x-7i^3(3x-7u)

simplify

9 x - 7 i^{3} (3 x - 7 u)

9 x + (21 x - 49 u) i

Solution steps

9 x - 7 i^{3} (3 x - 7 u)

Simplify

7 i^{3} (3 x - 7 u) : - 7 i (3 x - 7 u)

= 9 x - (- 7 i (3 x - 7 u))

Apply rule:

a - (- b) = a + b

9 x - (- 7 i (3 x - 7 u)) = 9 x + 7 i (3 x - 7 u)

= 9 x + 7 i (3 x - 7 u)

Rewrite in standard complex form:

9 x + 7 (3 x - 7 u) i

= 9 x + 7 (3 x - 7 u) i

Expand

7 (3 x - 7 u) : 21 x - 49 u

= 9 x + (21 x - 49 u) i

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