What is (x-5+2i)(x-5-2i) ?

The solution to (x-5+2i)(x-5-2i) is x^2-10x+29

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simplify (x-5+2i)(x-5-2i)

simplify

(x - 5 + 2 i) (x - 5 - 2 i)

x^{2} - 10 x + 29

Solution steps

(x - 5 + 2 i) (x - 5 - 2 i)

Rewrite

x - 5 + 2 i

in standard complex form:

(x - 5) + 2 i

Rewrite

x - 5 - 2 i

in standard complex form:

(x - 5) - 2 i

= ((x - 5) + 2 i) ((x - 5) - 2 i)

Apply complex arithmetic rule:

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

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

Simplify

(x - 5)^{2} + 2^{2} : x^{2} - 10 x + 29

= x^{2} - 10 x + 29

lo g_{2} (\frac{128}{32})

lo g_{3} (\frac{2}{54})

(2 x - 7) + (- 10 x - 5)

x^{3} - 9 x + 2 x^{2} y + x y^{2}

- 3.7 + \frac{1}{4}