a: \(=y\left(a+b\right)+x\left(a+b\right)=\left(a+b\right)\left(x+y\right)\)
b: \(=3y\left(x-2\right)+2a\left(x-2\right)=\left(x-2\right)\left(2a+3y\right)\)
c: \(=x\left(x-a\right)+b\left(x-a\right)=\left(x-a\right)\left(x+b\right)\)
d: \(=a^4\left(b^2+1\right)-5\left(b^2+1\right)=\left(b^2+1\right)\left(a^4-5\right)\)
e: \(=x\left(x-y\right)-a\left(x-y\right)=\left(x-y\right)\left(x-a\right)\)