Expand and simplify: \( \begin{array}{ll}\text { 1) } 2 x(3 x-4 y)-\left(7 x^{2}-2 x y\right) & \text { (2) }(5 y+1)^{2}-(3 y+4)(2-3 y) \\ \text { 3) }\left(a^{2}-2 b\right)\left(a^{2}+2 b\right)-\left(a^{2}-2 b\right)^{2} & \text { (4) }\left(2 p^{3}-3\right)^{2}-\left(p^{2}+2\right)\left(p^{4}-2 p^{2}+4\right)\end{array} \)

First additional information: Let's tackle the first expression: \(2x(3x-4y) - (7x^2 - 2xy)\). Start by distributing \(2x\) across \(3x - 4y\) to get \(6x^2 - 8xy\). Then, combine like terms with \(-7x^2 + 2xy\) to simplify it down to \(-x^2 - 6xy\). Easy peasy! Second additional information: Moving on to the second expression: \((5y + 1)^2 - (3y + 4)(2 - 3y)\)! First, expand \((5y + 1)^2\) to get \(25y^2 + 10y + 1\). For the second part, expand \((3y + 4)(2 - 3y)\) to yield \(-9y^2 + 6y + 8\). Putting it together, you’ll find \(34y^2 + 4y - 7\) when you combine everything nicely. Keep those algebra skills sharpened!