a: \(=y^2\left(2y-3\right)+\left(2y-3\right)=\left(2y-3\right)\left(y^2+1\right)\)
b: \(=2b\left(a+3\right)+c\left(a+3\right)=\left(a+3\right)\left(2b+c\right)\)
c: \(=25-\left(x-2y\right)^2\)
\(=\left(5-x+2y\right)\left(5+x-2y\right)\)
e: \(=\left(a+b\right)\left(a^2-ab+b^2\right)-\left(a+b\right)\)
\(=\left(a+b\right)\left(a^2-ab+b^2-1\right)\)