Multiply Complex Numbers 1

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Question 2 of 5

Solve

`(7+i)(9+i)`

Question 4 of 5

Solve

`(-1+4i)(13-i)`

Question 5 of 5

Solve

`(5+11i)^2`

	`(5+11i)^2`	Expand `(5+11i)^2`.
	`(5+11i)(5+11i)`	Multiply using the FOIL method.
`=`	`25+color(red)(55i)+color(red)(55i)+121i^2`	Combine like terms `55i` and `55i`.
`=`	`25+color(red)(110i)+121i^2`	Replace `i^2=-1`.
`=`	`25+110i-121`	Combine like terms `63` and `-1`.
`=`	`-96+110i`

	`color(royalblue)(i)(5+i)`	Multiply the `i` through the parentheses.
`=`	`5i+i^2`	Replace `i^2=-1`.
`=`	`5i-1`

	`(7+i)(9+i)`	Multiply using the FOIL method.
`=`	`63+color(red)(7i)+color(red)(9i)+i^2`	Combine like terms `7i` and `9i`.
`=`	`63+color(red)(16i)+i^2`	Replace `i^2=-1`.
`=`	`63+16i-1`	Combine like terms `63` and `-1`.
`=`	`62+16i`

	`color(royalblue)(-12i)(5+3i)`	Multiply the `i` through the parentheses.
`=`	`-60i-36i^2`	Replace `i^2=-1`.
`=`	`-60i+36`	Rearrange.
`=`	`36-60i`