\(a)\) \({x^2} – 9= {x^2} - {3^2} = \left( {x + 3} \right)\left( {x - 3} \right)\)
\(b)\) \(4{x^2} – 25\) \( = {\left( {2x} \right)^2} - {5^2} = \left( {2x + 5} \right)\left( {2x - 5} \right)\)
\(c)\) \({x^6} - {y^6}\)\( = {\left( {{x^3}} \right)^2} - {\left( {{y^3}} \right)^2}\)\( = \left( {{x^3} + {y^3}} \right)\left( {{x^3} - {y^3}} \right) \)\( = \left( {x + y} \right)\left( {{x^2} - xy + y} \right)\)\(\left( {x - y} \right)\left( {{x^2} + xy + {y^2}} \right) \)