Problem
ALG-B1-M02-P012 Homogeneous Difference of Squares
#12
★★☆☆☆ Level 2 of 5
Factor \(x^2y^2-9z^4\).
Write both terms as squares.
\(x^2y^2-9z^4=(xy)^2-(3z^2)^2\).
Hence \(x^2y^2-9z^4=(xy-3z^2)(xy+3z^2)\).
A short problem on recognising blocks.