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

The solution to simplify-6i(8-6i)(-8-8i) is -96+672i

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

simplify

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

- 96 + 672 i

Solution steps

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

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= - 6 i ((8 (- 8) - (- 6) (- 8)) + (8 (- 8) - 6 (- 8)) i)

Simplify

(8 (- 8) - (- 6) (- 8)) + (8 (- 8) - 6 (- 8)) i : - 112 - 16 i

= - 6 i (- 112 - 16 i)

Apply the distributive law:

a (b - c) = ab - a c

- 6 i (- 112 - 16 i) = - 6 i (- 112) - (- 6 i) \cdot 16 i

= - 6 i (- 112) - (- 6 i) \cdot 16 i

- 6 i (- 112) = 672 i

- (- 6 i) \cdot 16 i = - 96

= 672 i - 96

Rewrite in standard complex form:

- 96 + 672 i

= - 96 + 672 i

3 x^{2} + 12 x - 63

n^{2} + n

(x + 6) (x + 1) = 0

∣ 2 y + 5 ∣ = ∣ 7 - 2 y ∣

r^{2} - 16 = 0

What is simplify-6i(8-6i)(-8-8i) ?
The solution to simplify-6i(8-6i)(-8-8i) is -96+672i