Question

I NEED FULL EXPLANATION

(4 - 3i) ^2

Answer 1

Rewrite

( 4 − 3 i ) 2 as ( 4 − 3 i )( 4 − 3 i ) . ( 4 − 3 i) ( 4 − 3 i ) Expand ( 4 − 3 i ) ( 4 − 3 i )

using the FOIL Method.

4 ⋅ 4 + 4 ( -3 i ) − 3 i ⋅ 4 − 3 i ( − 3 i )

Simplify and combine like terms.

7 − 24 i

Explanation:

Answer 2

7 -24i

Explanation:

(4 - 3i) ^2

(4-3i) * (4-3i)

FOIL

first 4*4 = 16

outer 4 * -3i = -12i

inner -3i *4 = -12i

last -3i*-3i = 9i^2 = 9 (-1) = -9

Add together

16 -12i-12i -9

Combine like terms

7 -24i