Math  /  Algebra

QuestionSimplify the expression to a + bi form: (64i)(8+4i)(-6-4 i)-(8+4 i)
Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. The expression involves complex numbers.
2. The goal is to simplify the expression to the standard form a+bia + bi, where aa and bb are real numbers.

STEP 2

1. Distribute the negative sign across the second complex number.
2. Combine like terms to simplify the expression.

STEP 3

Distribute the negative sign across the second complex number (8+4i)(8+4i):
(64i)(8+4i)=64i84i (-6-4i) - (8+4i) = -6 - 4i - 8 - 4i

STEP 4

Combine the real parts and the imaginary parts separately:
Real parts: 68=14-6 - 8 = -14
Imaginary parts: 4i4i=8i-4i - 4i = -8i
So, the expression simplifies to:
148i -14 - 8i
The simplified expression in a+bia + bi form is:
148i \boxed{-14 - 8i}

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