Question 32: Simplify the following expressions:\( \:2x{\left( {2x – 1} \right)^2} – 3x\left( {x + 3} \right)\left( {x – 3 } \right) – 4x{\left( {x + 1} \right)^2}\)

\(\begin{array}{l} \:2x{\left( {2x – 1} \right)^2} – 3x\left( {x + 3} \right)\left( {x – 3} \ right) – 4x{\left( {x + 1} \right)^2}\\ = 2x.({(2x)^2} – 2.2x.1 + {1^2}) – 3x({x^) 2} – {3^2}) – 4x.({x^2} + 2.x.1 + {1^2})\\ = 2x.(4{x^2} – 4x + 1) – 3x ({x^2} – 9) – 4x({x^2} + 2x + 1)\\ = 2x.4{x^2} – 2x.4x + 2x.1 – 3x. {x^2} + 3x.9 – 4x {x^2} – 4x.2x – 4x.1\\ = 8{x^3} – 8{x^2} + 2x – 3{x^3} + 27x – 4{x ^3} – 8{x^2} – 4x\\ = {x^3} – 16{x^2} + 25x \end{array}\)