Simplify.
(i) `(a^2-b^2)^2`
(ii) `(2x+5)^2-(2x-5)^2`
(iii) `(7m-8n)^2+(7m+8n)^2` (iii) `(4m+5n)^2+(5m+4n)^2` (iv) `(2.5p-1.5q)^2-(1.5p-2.5q)^2` (v) `(ab+ba)^2-2ab^2c` (vi) `(m^2-n^2m)^2+2m^3n^2`

Explanation

We can use algebraic identities as

`(a + b)^2 = a^2 + 2ab + b^2`

`(a - b)^2 = a^2 - 2ab + b^2`

Given,
`(i) (a^2 - b^2)^2`

`= (a^2)^2 - 2(a^2)(b^2)+(b^2)^2 `

`= a^4- 2a^2b^2 + b^4`

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

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