Factorize each of the following algebraic expressions:
(i) `16(2x-1)^2-25 z^2`
(ii) `4a^2-9b^2-2a-3b`

Explanation

using identities `(a^2-b^2)=(a-b)(a+b)`
(i) `16(2x-1)^2-25 z^2`
`={4(2x−1)}^2−25y^2`
`=(8x−4)^2 −(5y)^2`
`=(8x−4+5y)(8x−4−5y)`
`=(8x+5y−4)(8x−5y−4)`

(ii) `4a^2-9b^2-2a-3b`
`=(2a)^2−(3b)^2−2a−3b`
`=(2a−3b)(2a+3b)−(2a+3b)`
`=(2a+3b (2a−3b−1)`
`therefore` `4a^2−9b^2−2a−3b`
`=(2a+3b)(2a−3b−1)`.