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Popular >

simplify |z-1-3i|^2

Solution

simplify

∣ z - 1 - 3 i ∣^{2}

Solution

z^{2} - 2 z + 10

Solution steps

∣ z - 1 - 3 i ∣^{2}

Simplify

∣ z - 1 - 3 i ∣ : z^{2} - 2 z + 10

= (z^{2} - 2 z + 10)^{2}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((z^{2} - 2 z + 10)^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (z^{2} - 2 z + 10)^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= z^{2} - 2 z + 10

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Frequently Asked Questions (FAQ)

What is |z-1-3i|^2 ?
The solution to |z-1-3i|^2 is z^2-2z+10