a) \(=2x\left(x-25\right)\)
b) \(=x\left(x-4\right)-\left(x-4\right)=\left(x-4\right)\left(x-1\right)\)
c) \(=x^2-\left(y^2-12y+36\right)=x^2-\left(y-6\right)^2=\left(x-y+6\right)\left(x+y-6\right)\)
d) \(=y\left(x^2+4xz+4yz\right)\)
a) \(2x^2-50x\)
\(=2x\left(x-25\right)\)
b) \(x^2-5x+4\)
\(=\left(x-1\right)\left(x-4\right)\)
c) \(x^2-y^2+12y+36\)
\(=\left(x+y-6\right)\left(x-y+6\right)\)
d) \(x^2z+4xyz+4y^2z\)
\(=z\left(x^2+4xy+4y^2\right)\)
\(=z\left(x+2y\right)^2\)