Question:
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Solution:
$9 a(6 a-5 b)-12 a^{2}(6 a-5 b)$
$=\left(9 a-12 a^{2}\right)(6 a-5 b) \quad[$ Taking $(6 a-5 b)$ as the common factor $]$
$=3 a(3-4 a)(6 a-5 b) \quad\left[\right.$ Taking $3 a$ as the common factor of the quadratic $\left.\left(9 a-12 a^{2}\right)\right]$
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