Multiply polynomials (ab-2)(ab+2)

(ab)^2 - 2^2

(ab)^2+2ab-2ab-4

(ab)^2-4

To multiply polynomials, we use the distributive property.

Given the expression (ab-2)(ab+2), we can expand it using the distributive property in the following way:

First, we multiply the terms with each other as follows:

(a * b) * (a * b) = a^2 * b^2 (product of the first terms)
(a * b) * 2 = 2ab (product of the first and second terms)
(-2) * (a * b) = -2ab (product of the second and first terms)
(-2) * 2 = -4 (product of the second terms)

Next, we combine like terms, that is, the terms with the same variable and exponent:

(a^2 * b^2) + (2ab) + (-2ab) + (-4)

Combining the like terms, we get:

a^2 * b^2 + (2ab - 2ab) + (-4)
a^2 * b^2 - 4

Therefore, the product of the polynomials (ab-2)(ab+2) is a^2 * b^2 - 4.