How do you simplify $(-1-5i)(-1+5i)$ ?

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Answer 1 · 2018-08-10T17:59:18

$26$

$(-1-5i)(-1+5i)$

Use FOIL to distribute:
$-1 * -1 = 1$

$-1 * 5i = -5i$

$-5i * -1 = 5i$

$-5i * 5i =-25i^2$

Combine them together:
$1 - 5i + 5i - 25i^2$

Simplify:
$1 - 25i^2$

We know that $i^2 = -1$ , so:
$1 - 25(-1)$

$=1 + 25$

$=26$

Hope this helps!

How do you simplify (-1-5i)(-1+5i)(-1-5i)(-1+5i)?