What is (x-5-i)(x-5+i) ?

The solution to (x-5-i)(x-5+i) is x^2-10x+26

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simplify (x-5-i)(x-5+i)

simplify

(x - 5 - i) (x - 5 + i)

x^{2} - 10 x + 26

Solution steps

(x - 5 - i) (x - 5 + i)

Rewrite

x - 5 - i

in standard complex form:

(x - 5) - i

= ((x - 5) - i) (x - 5 + i)

Apply complex arithmetic rule:

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

= (x - 5)^{2} + (- 1)^{2}

Simplify

(x - 5)^{2} + (- 1)^{2} : x^{2} - 10 x + 26

= x^{2} - 10 x + 26

10 \times \frac{4}{5}

\frac{d ^{2} y}{d x ^{2}}

- \frac{3}{7} - \frac{2}{5}

(w^{3} x^{2})^{2}

\frac{- 28}{7}