Find each sum or difference. Write answers in standard form. (3+2...

Question

Find each sum or difference. Write answers in standard form. (3+2i) + (9+3i)

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression parentheses four plus five I. And those parentheses plus new set of parentheses six plus seven I. We are asked to perform the addition here and to use Standard form to write our final answer. We recall from previous lessons. That standard form of complex numbers is in the form of A plus B. I. Where A that's all of the regular real numbers and B. I. That is the imaginary numbers and whatever they're being multiplied by. So to perform the addition here, we can actually just drop all of the parentheses four plus five I plus six plus seven I. And now we want to combine our like terms put together the real numbers and put together the imaginary numbers. So our real numbers here we have four plus 64 plus six equals 10. For our imaginary numbers we have five I plus seven I. Five eyes plus seven more eyes equals 12 eyes. So this is plus 12. I. Our answer is 10 plus 12 I. That is in standard form we look at our answer choices and that matches with answer choice C. Well done. We'll catch you on the next one

Struggling with College Algebra?

Find each sum or difference. Write answers in standard form. (3+2i) + (9+3i)

Watch next

Powers of i practice set