Question

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi

Answer 1

Step-by-step explanation:

(a+bi)2

=a2 +2abi +b2i2

=a2 +2abi + b2. (-1)

=a2 -b2 +2abi

Answer = (a+b(a-b) +2abi

Answer 2

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi