$75 \cdot \frac{75 + 95 i}{55 + 75 i} = \frac{- 600 i + 16875}{173}$

Explanation

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$75 \cdot \frac{75 + 95 i}{55 + 75 i} \overset{◯}{1} 75 \cdot \frac{225 - 8 i}{173} \overset{◯}{2} \frac{- 600 i + 16875}{173}$
①	Divide $75 + 95 i$ by $55 + 75 i$ to get $\frac{225 - 8 i}{173}$ . ( view steps )
②	Multiply $75$ by $\frac{225 - 8 i}{173}$ to get $\frac{- 600 i + 16875}{173}$ . Step 1: Write $75$ as a fraction by putting $1$ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $75 \cdot \frac{225 - 8 i}{173} Step 1 \frac{75}{1} \cdot \frac{225 - 8 i}{173} Step 2 \frac{75 \cdot ( 225 - 8 i )}{1 \cdot 173} = Step 3 \frac{16875 - 600 i}{173} = \frac{- 600 i + 16875}{173}$

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75⋅55+75i75+95i​=173−600i+16875​

$75 \cdot \frac{75 + 95 i}{55 + 75 i} = \frac{- 600 i + 16875}{173}$