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Popular >

simplify (1+3/(1+i))^2

Solution

simplify

(1 + \frac{3}{1 + i})^{2}

Solution

4 - \frac{15}{2} i

Solution steps

(1 + \frac{3}{1 + i})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(1 + \frac{3}{1 + i})^{2} = 1^{2} + 2 \cdot 1 \cdot \frac{3}{1 + i} + (\frac{3}{1 + i})^{2}

= 1^{2} + 2 \cdot 1 \cdot \frac{3}{1 + i} + (\frac{3}{1 + i})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot \frac{3}{1 + i} + (\frac{3}{1 + i})^{2} : 4 - \frac{15}{2} i

= 4 - \frac{15}{2} i

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Frequently Asked Questions (FAQ)

What is (1+3/(1+i))^2 ?
The solution to (1+3/(1+i))^2 is 4-15/2 i