a) (5x-2y)(x^2-xy+1). (x-1)(x+1)(x+2) c)1/2x^2 y^2(2x+y)(2x-y)

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1. \(\begin{array}{l}
   +)\;(5x – 2y)({x^2} – xy + 1)\\
   = 5x.({x^2} – xy + 1) – 2y({x^2} – xy + 1)\\
   = 5{x^3} – 5{x^2}y + 5x – 2{x^2}y + 2x{y^2} – 2\\
   = 5{x^3} – 7{x^2}y + 5x + 2x{y^2} – 2\\
   +)\;(x – 1)(x + 1)(x + 2)\\
   = ({x^2} – 1)(x – 2)\\
   = {x^2}(x – 2) – 1.(x – 2)\\
   = {x^3} – 2{x^2} – x + 2
   \end{array}\)

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