Appendix A - Exercise Set - Page 976: 53

Appendix A - Ex. Set : 53 (Answer) $8x^3 + 125y^3$ $= (2x + 5y)(4x^2 – 10xy + 25y^2)$

Appendix A - Ex. Set : 53 (Solution) $8x^3 + 125y^3$ $= (2x)^3 + (5y)^3$ $= (2x + 5y)[(2x)^2 – (2x)(5y) + (5y)^2]$ (Sum of two cubes) $= (2x + 5y)(4x^2 – 10xy + 25y^2)$