a, \(x^4-64x=x\left(x^3-64\right)=x\left(x-4\right)\left(x^2+4x+16\right)\)
b, \(x^3\left(x-1\right)-\left(x^2-1\right)=x^3\left(x-1\right)-\left(x-1\right)\left(x+1\right)=\left(x^3-x-1\right)\left(x-1\right)\)
c, \(=x^4-y^4==\left(x^2+y^2\right)=\left(x-y\right)\left(x+y\right)\)
d, \(=\left(x^3\right)^2-\left(y^3\right)^2=\left(x^3-y^3\right)\left(x^3+y^3\right)=\left(x-y\right)\left(x^2+xy+y^2\right)\left(x+y\right)\left(x^3-xy+y^2\right)\)
e, \(=3x^2+7x-3x-7=3x\left(x-1\right)+7\left(x-1\right)=\left(3x+7\right)\left(x-1\right)\)
f, \(=-5x^2+x+15x-3=\left(x-3\right)\left(-5x+1\right)\)
g, \(=\left(x^2+1-2x\right)\left(x^2+1+2x\right)=\left(x-1\right)^2\left(x+1\right)^2\)
h, \(=x^2\left(x-5\right)-4\left(x-5\right)=\left(x-2\right)\left(x+2\right)\left(x-5\right)\)
