More About Complex Numbers
Multiply
(4+3i)(1-i)
Please show work i need help
To multiply complex numbers, you can use the distributive property. So let's expand the expression:
(4 + 3i)(1 - i)
Using the distributive property, we can multiply each term in the first complex number by each term in the second complex number:
(4)(1) + (4)(-i) + (3i)(1) + (3i)(-i)
Simplifying each term, we get:
4 - 4i + 3i - 3i^2
Now, remember that i^2 is defined as -1. So we can substitute that value into the expression:
4 - 4i + 3i - 3(-1)
Now, simplify further:
4 - 4i + 3i + 3
Combine like terms:
7 - i
Therefore, the product of (4 + 3i)(1 - i) is 7 - i.