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सिद्ध कीजिए कि 7x^3 + 8y^3 -(4x + 3y)(16x^2 – 12xy + 9y^3) = -57x^3 – 19y^3

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सिद्ध कीजिए कि 

7x3 + 8y3 -(4x + 3y)(16x2 – 12xy + 9y3) = -57x3 – 19y3

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L.H.S. = 7x3 +8y3 – (4x + 3y)(16x2 – 12xy + 9y2)

= 7x3 + 8y3 – [(4x)3 +(3y)3]

= 7x3 + 8y3 – (64x3 + 27y3)

= 7x3 + 8y3 – 64x3 – 27y3

= – 57x3 – 19y3 = R.HS.

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