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Popular >

simplify (z-i)(z+i)

Solution

simplify

(z - i) (z + i)

Solution

z^{2} + 1

Solution steps

(z - i) (z + i)

Apply complex arithmetic rule:

(a + bi) (a - bi) = a^{2} + b^{2}

= z^{2} + (- 1)^{2}

(- 1)^{2} = 1

= z^{2} + 1

Popular Examples

simplify (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)}simplify

\frac{\frac{15 a ^{3}}{45 a ^{5}}}{\frac{5 a ^{7}}{9 a ^{4}}}

simplify-1/3 \times 3 simplify

- \frac{1}{3} \times 3

simplify (3x)/4+x/7 simplify

\frac{3 x}{4} + \frac{x}{7}

simplify (4x^{3/5})^2 simplify

(4 x^{\frac{3}{5}})^{2}

simplify 144/24 simplify

\frac{144}{24}

Frequently Asked Questions (FAQ)

What is (z-i)(z+i) ?
The solution to (z-i)(z+i) is z^2+1