Express the following in the standard form `a+i b :(1/(1-2i)+3/(1+i))((3+4i)/(2-4i))`

Explanation

To express the given expression \((1/(1-2i) + 3/(1+i))((3+4i)/(2-4i))\) in the standard form \(a + ib\), we will follow these steps:

### Step 1: Simplify the first part \((1/(1-2i) + 3/(1+i))\)

1. **Find the common denominator**:
The common denominator for \(1/(1-2i)\) and \(3/(1+i)\) is \((1-2i)(1+i)\).

2. **Rewrite each term**:
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