I WILL GIVE BRAINLIST AND 5 STARS Show that (2x + i)(2x – i) = 4x² + 1

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

(2x + i)(2x – i)

FOIL

first 2x*2x =4x^2

outer -i * 2x = 2x i

inner i * 2x = 2x i

last i * -i = -i^2 and i^2 = -1 so - (i^2 ) = - (-1) = 1

Add together

4x^2 + 2xi -2x i +1

Combine like terms

4x^2 +1

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