Verified Answer :

(ab+3)(ab−3)

=(ab+3)(ab+−3)

=(ab)(ab)+(ab)(−3)+(3)(ab)+(3)(−3)

=a^2b^2−3ab+3ab−9

=a^2b^2−9

Answer:

Option (c) is correct.

\(\left(ab\:+\:3\right)\left(ab\:-\:3\right)=a^2b^2-9\)

Step-by-step explanation:

Given : \(\left(ab\:+\:3\right)\left(ab\:-\:3\right)\)

We have to find the product of \(\left(ab\:+\:3\right)\left(ab\:-\:3\right)\)

Consider the given expression \(\left(ab\:+\:3\right)\left(ab\:-\:3\right)\)

Apply algebraic identity, \(\left(a+b\right)\left(a-b\right)=a^2-b^2\)

We have,

a = ab and b = 3

\(=\left(ab\right)^2-3^2\)

Simplify, we have,

\(=a^2b^2-9\)

Thus, \(\left(ab\:+\:3\right)\left(ab\:-\:3\right)=a^2b^2-9\)

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