Question

Multiply each pair of factors. Type the product in the space provided.

(6 + 3i)(6 − 3i) =


(4 − 5i)(4 + 5i) =


(−3 + 8i)(−3 − 8i) =

Answer 1

Use this formula to answer your questions:
$(a-bi)(a+bi) = a^2 + b^2$

$(6 + 3i)(6 - 3i) = 6^2 + 3^2 = 36 + 9 = \boxed{\bf{45}}\\\\(4 - 5i)(4 + 5i) = 4^2 + 5^2 = 16 + 25 = \boxed{\bf{41}}\\\\(-3 + 8i)(-3 - 8i) = (-3)^2 + 8^2 = 9 + 64=\boxed{\bf{73}}$

Answer 2

Answer:

(6 + 3i)(6 − 3i) =  45

(4 − 5i)(4 + 5i) =  41

(−3 + 8i)(−3 − 8i) = 73

Just took the test

For the second part its -36, then -4 + 28i