\(a,=5x\left(x^2-2x+4\right)\\ b,=\left(x+1\right)^2-2y^2=\left(x+1-\sqrt{2}y\right)\left(x+1+\sqrt{2}y\right)\\ c,=\left(x^2+x\right)+\left(5x+5\right)=x\left(x+1\right)+5\left(x+1\right)=\left(x+1\right)\left(x+5\right)\\ d,=7x\left(x+2y\right)\\ e,=\left(x-y\right)^2-z^2=\left(x-y-z\right)\left(x-y+z\right)\\ g,=\left(x^2+x\right)+\left(4x+4\right)=x\left(x+1\right)+4\left(x+1\right)=\left(x+1\right)\left(x+4\right)\)