256n⁸-81m⁸ FACTORISE THE GIVEN
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Step-by-step explanation:
256n^8 - 81m^8 = (16m^4)^2 - (9n^4)^2
= (16m^4 + 9n^4)(16m^4 - 9n^4)
= [16m^4+9n^4][(4m^2)^2-(3n^2)^2]
= (16m^4+9n^4)(4m^2+3n^2)(4m^2-3n^2)
= (16m^4+9n^4)(4m^2+3n^2)[(2m)^2-(n√3)^2]
= (16m^4+9n^4)(4m^2+3n^2)(2m+n√3)(2m-n√3)
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