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Simplify. (i) (a^2-b^2)^2 (ii) (2x+5...

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

Text Solution

Verified by Experts

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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