Subjects algebra

Complex Simplify

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1. The problem asks to solve question 6 by simplifying and leaving the answer in standard form $a+bi$. 2. Standard form for complex numbers is $a+bi$, where $a$ is the real part and $b$ is the imaginary part. 3. To simplify, combine like terms and express the result as $a+bi$. 4. Since the exact expression from question 6 is not provided, the general approach is: - Expand any products. - Combine real parts. - Combine imaginary parts. 5. For example, if question 6 was to simplify $(3+4i)+(1-2i)$: - Add real parts: $3+1=4$ - Add imaginary parts: $4i-2i=2i$ - Result: $4+2i$ 6. If question 6 involves multiplication, e.g., $(2+3i)(1+4i)$: - Use distributive property: $2\times1 + 2\times4i + 3i\times1 + 3i\times4i$ - Calculate: $2 + 8i + 3i + 12i^2$ - Since $i^2 = -1$, $12i^2 = 12\times(-1) = -12$ - Combine real parts: $2 - 12 = -10$ - Combine imaginary parts: $8i + 3i = 11i$ - Result: $-10 + 11i$ 7. Without the exact expression, this is the method to simplify and write in $a+bi$ form.