Find the product of the following binomials;
(i)`(a^2+b c)(a^2-b c)`
(ii) `((4x)/5-(3y)/4)((4x)/5+(3y)/4)`

Explanation

Given:

`(i) (a^2+b c)(a^2-b c)`

Using identity, `a^2-b^2=(a-b)(a+b)`

`=> (a^2)^2-(b c)^2`

`=> a^4-b^2 c^2`

`(ii) ((4x)/5-(3y)/4)((4x)/5+(3y)/4)`

Using identity, `a^2-b^2=(a-b)(a+b)`

`=>((4x)/5)^2-((3y)/4))^2`

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