Question

omial, if possible. check your ar

1. (a^2b^2 - 100)

Explanation:

Step1: Identify the form

The expression \(a^{2}b^{2}-100\) is a difference of squares. The formula for difference of squares is \(x^{2}-y^{2}=(x + y)(x - y)\). Here, \(x = ab\) (since \((ab)^{2}=a^{2}b^{2}\)) and \(y = 10\) (since \(10^{2}=100\)).

Step2: Apply the formula

Using the difference of squares formula \(x^{2}-y^{2}=(x + y)(x - y)\) with \(x = ab\) and \(y = 10\), we get:
\(a^{2}b^{2}-100=(ab + 10)(ab - 10)\)

Answer:

\((ab + 10)(ab - 10)\)