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# Multiply and simplify the product of (3 – 5i) (– 2 + 4i).

A complex number is in the form of x + yi where x is a real part and y is an imaginary part.

## Answer: The product of (3 – 5i) (– 2 + 4i) is 14 + 22i.

Let us solve step by step to find the product of (3 – 5i) and (– 2 + 4i).

**Explanation:**

By multiplying these complex numbers, we get

⇒ (3 – 5i) (– 2 + 4i) = - 6 + 12 i + 10 i - 20 i^{2}

⇒ - 6 + 22 i - 20 i^{2}

⇒ - 6 + 22 i - 20 (- 1)

⇒ 14 + 22 i

### Thus, the product of (3 – 5i) (– 2 + 4i) is 14 + 22 i.

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