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32 votes
32 votes
PLEASE HELP WITH THIS FOLLOWING!!

PLEASE HELP WITH THIS FOLLOWING!!-example-1
User Jetson John
by
2.9k points

2 Answers

11 votes
11 votes

Explanation:

to make it hopefully better visible :

(2a² + b³)(2a² - b³) = 4a² - b³

let's do the multiplication on the left side :

2a²×2a² - 2a²×b³ + 2a²×b³ - b³×b³ =

= 4a⁴ - b⁶

this is NOT the same as the right side of the original equation 4a² - b³

so, this is NOT an identity.

FYI

(a + b) × (a - b) is always a² - b²

User Pepuch
by
3.0k points
10 votes
10 votes
(2a squared + b cubed) • (2a squared - b cubed) = 4a squared - b cubed

Is an identity

Explanation
2a squared • 2a squared = 4a squared
b cubed • -b cubed = -b cubed

So 4a squared = -b cubed

Hope this helped
User MexicanHacker
by
2.2k points