Factorize each of the following expressions:
(i) `a^3x+a^2(x-y)-a(y+z)-z`,
(ii)`(x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y`

Explanation

Given:

`(i) a^3x+a^2(x-y)-a(y+z)-z`

`=> (a^3x+a^2x-a^2y-ay-az-z)`

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

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

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

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

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

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