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125 + 8*x*^{3} - 27 *y*^{3} + 90*xy*

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#### Solution

= 5^{3} + (2x)^{3} + (-3y )^{3} - 3 × 5 × 2x × (-3y )

= (5 + 2x + (-3y ))(52 + (2x)^{2} + (-3y )^{2} - 5(2x) - 2x (-3y ) - (-3y )5)

= (5 + 2x - 3y )(25 + 4x^{2} + 9 y2 -10x + 6xy +15 y )

∴ 125 + 8x^{3} - 27 y^{3} + 90xy = (5 + 2x - 3y)(25 + 4x^{2} + 9 y^{2} -10x + 6xy +15y )

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