What is (x-1-3i)(x-1+3i) ?

The solution to (x-1-3i)(x-1+3i) is x^2-2x+10

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simplify (x-1-3i)(x-1+3i)

simplify

(x - 1 - 3 i) (x - 1 + 3 i)

x^{2} - 2 x + 10

Solution steps

(x - 1 - 3 i) (x - 1 + 3 i)

Rewrite

x - 1 - 3 i

in standard complex form:

(x - 1) - 3 i

Rewrite

x - 1 + 3 i

in standard complex form:

(x - 1) + 3 i

= ((x - 1) - 3 i) ((x - 1) + 3 i)

Apply complex arithmetic rule:

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

= (x - 1)^{2} + (- 3)^{2}

Simplify

(x - 1)^{2} + (- 3)^{2} : x^{2} - 2 x + 10

= x^{2} - 2 x + 10

\frac{6 x ^{3}}{2 x ^{2}}

(2 + y)^{3}

\frac{7}{7 x} + \frac{9}{7 x}

m (m - 4) (m - 6) (3 m + 2)

14 x^{2} + 29 x - 15