Simplify the expression to a + bi form: (8+4i)(11−3i)

Sure, let's simplify the expression step by step:

1. Distribute the first term of the first complex number (8) to each term of the second complex number (11 - 3i):

   8 * 11 = 88 8 * -3i = -24i

2. Distribute the second term of the first complex number (4i) to each term of the second complex number (11 - 3i):

   4i * 11 = 44i 4i * -3i = -12i^2

3. Combine like terms:

   88 - 24i + 44i - 12i^2

4. Remember that i^2 = -1, so replace i^2 with -1:

   88 - 24i + 44i + 12

5. Combine like terms again:

   100 + 20i

So, the expression (8+4i)(11−3i) simplifies to 100 + 20i in a + bi form.