Explanation

We know that, \((x + y)(x - y) = x^2 - y^2\)

So we can rewrite the:

\((x + 2y)(x - 2y) = x^2 - 4y^2 = 4\)

They can quickly compare 4 to 8 and determine B is greater.

If you forget the classic quadratic form, simply perform (first, outer, inner, last):

(x + 2y)(x - 2y) → \(x^2 - 2xy + 2xy - 4y^2 = 4\) → \(x^2 - 4y^2 = 4\)

Compare the quantities: Quantity A: 4 Quantity B: 8


Hence option B is correct.
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GIVEN: (x − 2y)(x + 2y) = 4
Use FOIL to expand left side: x² + 2xy - 2xy - 4y² = 4
Simplify left side: x² - 4y² = 4

We get:
QUANTITY A: 4
QUANTITY B: 8

Answer: B

Cheers,
Brent
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