How do you simplify $(3+5i)(2+4i)$ ?

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Answer 1 · 2017-10-09T01:09:39

Expand the expression to get:

$22i-14$

To simplify, expand (FOIL) the expression:

$(3+5i)(2+4i)$

$=6+12i+10i+20i^2$

Combining like terms:

$=6+22i+20i^2$

Since $i^2= -1$ , we can rewrite that as:

$=6+22i+20(-1)$

$=6+22i-20$

$=22i-14$

How do you simplify (3+5i)(2+4i)(3+5i)(2+4i)?