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Popular >

simplify |x+iy|^2

Solution

simplify

∣ x + i y ∣^{2}

Solution

x^{2} + y^{2}

Solution steps

∣ x + i y ∣^{2}

Simplify

∣ x + i y ∣ : x^{2} + y^{2}

= (x^{2} + y^{2})^{2}

Apply radical rule:

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

= ((x^{2} + y^{2})^{\frac{1}{2}})^{2}

Apply exponent rule:

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

= (x^{2} + y^{2})^{\frac{1}{2} \cdot 2}

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

= x^{2} + y^{2}

Popular Examples

13 x - 9 = 10 x + 18

factor 3x^2-15x+12 factor

3 x^{2} - 15 x + 12

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28 a^{2} + 5 ab - 12 b^{2}

simplify 1/(4pi(3+2)^2)(-13)simplify

\frac{1}{4 π ( 3 + 2 ) ^{2}} (- 13)

- 27 = - 14 + p

Frequently Asked Questions (FAQ)

What is |x+iy|^2 ?
The solution to |x+iy|^2 is x^2+y^2