Factorise:

Question:

Factorise:

$\left(\frac{25}{4} x^{2}-\frac{1}{9} y^{2}\right)$

Solution:

$\left(\frac{25}{4} x^{2}-\frac{1}{9} y^{2}\right)$

$=\left(\frac{5}{2} x\right)^{2}-\left(\frac{1}{3} y\right)^{2}$

$=\left(\frac{5}{2} x+\frac{1}{3} y\right)\left(\frac{5}{2} x-\frac{1}{3} y\right) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$

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