Factorize each of the following algebraic expressions:
(i) `5(x-2y)^2+3(x-2y)`
(ii) `16(2l-3m)^2-12(3m-2l)`
(iii) `3a(x-2y)-b(x-2y)`
(iv) `a^2(x+y)+b^2(x+y)+c^2(x+y)`

Explanation

Given:

`(1) 5(x-2y)^2+3(x-2y)`

`=> (x-2y)(5(x-2y)+3)`

`=> (x-2y)(5x-10y+3)`

`(2)16(2l-3m)^2-12(3m-2l)`

`=>16(2l-3m)^2+12(2l-3m)`

`=>4(2l-3m)(4(2l-3m)+3(2l-3m)`

`=>4(2l-3m)(8l-12m+12)`

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