Factorize each of the following expressions: `3-12(a-b)^2` (ii) `x(x+z)-y(y+z)`

Explanation

(i)`3-12(a-b)^2`
`=3( 1 - 4(a - b)2))`
`=3( 12 - [2(a - b)]2 ))`
`=3( 1 + 2( a - b)) ( 1 - (2(a - b))) ]`
`=3[ 1 + 2a - 2b) ( 1 - (2a - 2b)`
`=3(1+ 2a - 2b)(1 -2a + 2b)`

(ii) `x(x+z)-y(y+z)`
`=x^2-y^2+zx-zy`
`=(x+y)(x-y)+z(x-y)`
`=(x-y)(x+y+z)`