Find each product. Write answers in standard form. (2+i)(3-2i)

Question

Accepted Answer

Hello everyone. We're gonna multiply the expression three plus I times four minus five I So if you recall when we multiplied by no meals, we use something called foil. We're going to do the same here. So first three times four gives me 12. Outer three times negative five I is negative 15 I Inner four times I is a positive four I and last I times negative five I gives me negative five I squared. I'm going to combine my like terms, I'm gonna combine negative 15 I and four I. So the 12 stays the same negative 15 plus four is negative 11 and still an eye And then -5. I recall that I squared is the same as negative one. So I'm replacing I squared with negative one Right now I have -11. I -5 times negative one. I'm gonna clean up that five times negative one. So negative five times negative one is a plus five. And now I have another set of like terms. I have a 12 and a five Add those together to get minus 11. I And I can't do anything else with that because I can't combine an eye in a knot. I the question wants it in standard form. In standard form, the real number piece goes before the imaginary number piece. And that's how we haven't set up right now. So 17 -11. I is our solution that is answer choice a have a nice day

Find each product. Write answers in standard form. (2+i)(3-2i)

Key Concepts

Complex Numbers

Multiplication of Complex Numbers

Standard Form of Complex Numbers

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