Factorize each of the following algebraic expressions:

Question:

Factorize each of the following algebraic expressions:
5(x − 2y)2 + 3(x − 2y)

Solution:

$5(x-2 y)^{2}+3(x-2 y)$

$=[5(x-2 y)+3](x-2 y) \quad[$ Taking $(x-2 y)$ as the common factor $]$

$=(5 x-10 y+3)(x-2 y)$

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