Using a suitable identity, find the following product:
$(5 a - 3 b) (5 a - 3 b)$

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Solution

using $(a - b) (a - b) = a^{2} + b^{2} - 2 a b$
For the above expression, keeping $a = 5 a$ and $b = 3 b$ , we get
$(5 a - 3 b) (5 a - 3 b) = (25 a^{2} + 9 b^{2} - 30 a b)$

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Factorize: 125a³ – 27b³ – 225a²b + 135ab².

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