Perform each operation. Write answers in standard form. (5-11i)(5...

Question

Perform each operation. Write answers in standard form. (5-11i)(5+11i)

Accepted Answer

Hello, everyone. We're gonna multiply the expression nine minus 14, I times nine plus 14. I, we're gonna make sure our final answer is in standard form. So looking at this, I recall that this setup means I have the difference of squares when I multiply it out. So the middle term cancels out. This means that I can square the first term. So nine squared is 81 square. The last term uh 14 I so 14 squared is 1 96 I squared is I squared and it's gonna be a minus in between them because we end up with the difference or subtraction of squares. Next, I recall that I squared is the same as negative one. So I now have 81 minus 196 times negative one. So I substituted it in for my I squared multiplying that out, I now have 81 and a negative 196 times a negative one is plus 196 81 plus 196 would give me 277. And that is in standard form because there is no imaginary part, the imaginary part canceled out. So our solution is 277 which is answer choice B have a nice day.

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

Perform each operation. Write answers in standard form. (5-11i)(5+11i)