$- 12 \cdot \frac{1 - 2 j}{1 + j} = \frac{24 j - 12}{j + 1}$

Explanation

- 12 \cdot \frac{1 - 2 j}{1 + j} \overset{◯}{1} \frac{24 j - 12}{j + 1}

①

Multiply $- 12$ by $\frac{1 - 2 j}{1 + j}$ to get $\frac{24 j - 12}{j + 1}$ .

Step 1: Write $- 12$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

- 12 \cdot \frac{1 - 2 j}{1 + j} Step 1 \frac{- 12}{1} \cdot \frac{1 - 2 j}{1 + j} Step 2 \frac{( - 12 ) \cdot ( 1 - 2 j )}{1 \cdot ( 1 + j )} = Step 3 \frac{- 12 + 24 j}{1 + j} = \frac{24 j - 12}{j + 1}

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−12⋅1+j1−2j​=j+124j−12​

$- 12 \cdot \frac{1 - 2 j}{1 + j} = \frac{24 j - 12}{j + 1}$