Factorize each of the following expressions: 1/16x^2 y^2 - 4/49y^2 z^2

Question

Factorize each of the following expressions:

\(\frac{1}{16}x^2y^2 - \frac{4}{49}y^2z^2\)

Answer 1

\((\frac{1}{4}xy)^2 - (\frac{2}{7}yz)^2\)

 = \((\frac{xy}{4}+\frac{2yz}{7})(\frac{xy}{4}-\frac{2yz}{7})\)

= \(y^2(\frac{x}{4}+\frac{2}{7}z)(\frac{x}{4}-\frac{2}{7}z)\)