1.

Factorise `16x^(4)-81y^(4)`.

Answer» Given expression : `16x^(4)-81y^(4)=(4x^(2))^(2)-(9y^(2))^(2)=(4x^(2)+9y^(2))(4x^(2)-9y^(2))`
`=(4x^(2)+9y^(2))[(2x)^(2)-(3y)^(2)]`
`=(4x^(2)+9y^(2))(2x+3y)(2x-3y)`


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