What is (ix+9)(ix-9) ?

The solution to (ix+9)(ix-9) is -81-x^2

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simplify (ix+9)(ix-9)

simplify

(i x + 9) (i x - 9)

- 81 - x^{2}

Solution steps

(i x + 9) (i x - 9)

Rewrite

i x + 9

in standard complex form:

9 + x i

Rewrite

i x - 9

in standard complex form:

- 9 + x i

= (9 + x i) (- 9 + x i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (9 (- 9) - xx) + (9 x + x (- 9)) i

Simplify

(9 (- 9) - xx) + (9 x + x (- 9)) i : - 81 - x^{2}

= - 81 - x^{2}

1 + 64

\frac{3}{2} - \frac{1}{12}

162 x^{3} y^{2}

\frac{2000}{200}

- 1 - 14