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