Factorize each of the following algebraic expressions:
(i) `x^3(a-2b)+x^2(a-2b)`
(ii) `2x-3y)(a+b)+(3x-2y)(a+b)`
(iii) `4 (x+y)(3a-b)+6(x+y)(2b-3a)`

Explanation

Given:

`(1) x^3(a-2b)+x^2(a-2b)`

`=> (a-2b)(x^3+x^2)`

`=> x^2(a-2b)(x+1)`

`(2) 2x-3y)(a+b)+(3x-2y)(a+b)`

`=> (a+b)(2x-3y+3x-2y)`

`=> (a+b)(5x-5y)`

`(4) (x+y)(3a-b)+6(x+y)(2b-3a)`

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