Factorize the following expressions:

9x² – 24xy + 16y²

= 9x² – 24xy + 16y²
Given equation can be simplified as,

= (3x)² – 2(3x)(4y) + (4y)²

It is of the form a² – 2ab + b²
Where a = 3x and b = 4y
∴ using the identity (a – b)² = a² – 2ab + b²

We get,
⇒ 9x² – 24xy + 16y² = (3x – 4y)²

9x² – 24xy + 16y² = (3x – 4y)²