$(x + i y) \cdot \frac{1}{26 - 52 i} = \frac{i y + x}{- 52 i + 26}$

Explanation

(x + i y) \cdot \frac{1}{26 - 52 i} \overset{◯}{1} \frac{i y + x}{- 52 i + 26}

①

Multiply $x + i y$ by $\frac{1}{26 - 52 i}$ to get $\frac{i y + x}{- 52 i + 26}$ .

Step 1: Write $x + i y$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

x + i y \cdot \frac{1}{26 - 52 i} Step 1 \frac{x + i y}{1} \cdot \frac{1}{26 - 52 i} Step 2 \frac{( x + i y ) \cdot 1}{1 \cdot ( 26 - 52 i )} = Step 3 \frac{x + i y}{26 - 52 i} = \frac{i y + x}{- 52 i + 26}

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(x+iy)⋅26−52i1​=−52i+26iy+x​

$(x + i y) \cdot \frac{1}{26 - 52 i} = \frac{i y + x}{- 52 i + 26}$