Factorize each of the following algebraic expression:

Question:

Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2

Solution:

$9 a^{2}-24 a b+16 b^{2}$

$=(3 a)^{2}-2 \times 3 a \times 4 b+(4 b)^{2}$

$=(3 a-4 b)^{2}$

$=(3 a-4 b)(3 a-4 b)$

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