Evaluate the product of $(6 x y - 5) (6 x y + 5)$

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Solution

The given polynomials are $6 x y - 5$ and $6 x y + 5$ we multiply them as follows:

$(6 x y - 5) (6 x y + 5) = (6 x y \times 6 x y) + (6 x y \times 5) + (- 5 \times 6 x y) + (- 5 \times 5) = 36 x^{2} y^{2} + 30 x y - 30 x y - 25$
$= 36 x^{2} y^{2} - 25$

Hence, $(6 x y - 5) (6 x y + 5) = 36 x^{2} y^{2} - 25$ .

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