\(a)\) \(\left[ {5{{\left( {a - b} \right)}^3} + 2{{\left( {a - b} \right)}^2}} \right]:{\left( {b - a} \right)^2}\)
\( = \left[ {5{{\left( {a - b} \right)}^3} + 2{{\left( {a - b} \right)}^2}} \right]:{\left( {a - b} \right)^2}\)
\( = 5\left( {a - b} \right) + 2\)
\(b)\) \(5{\left( {x - 2y} \right)^3}:\left( {5x - 10y} \right)\)
\( = 5{\left( {x - 2y} \right)^3}:5\left( {x - 2y} \right)\)
\( = {\left( {x - 2y} \right)^2}\)
\(c)\) \(\left( {{x^3} + 8{y^3}} \right):\left( {x + 2y} \right)\)
\( = \left[ {{x^3} + {{\left( {2y} \right)}^3}} \right]:\left( {x + 2y} \right)\)
\( = \left( {x + 2y} \right)\left( {{x^2} - 2xy + 4{y^2}} \right):\left( {x + 2y} \right)\)
\( = {x^2} - 2xy + 4{y^2}\)
