d, \(2x^3-12x^2+24x-16\)
= 2(\(x^3-6x^2+12x-8\))
=2(x-2)\(^3\)
e, \(x^3-10x^2+25x-9xy^2\)
=\(x\left(x-10x+25-9y^2\right)\)
=\(x\left[\left(x-5\right)^2-\left(3y\right)^2\right]\)
=\(x\left[\left(x-5-3y\right)\left(x-5+3y\right)\right]\)
a, \(x^3-8x^2+16x\)
=\(x^3-4x^2-4x^2+16x\)
= (\(x^3-4x^2\))-\(\left(4x^2-16x\right)\)
=\(x^2\left(x-4\right)-4x\left(x-4\right)\)
=\(\left(x^2-4x^2\right)\left(x-4\right)\)
b, \(3x^2-27\)
=3(\(x^2-9\))
=3\(\left(x^2-3^2\right)\)
=3\(\left(x-3\right)\left(x+3\right)\)
c,\(3x^2-5xy+6x-10y\)
=\(\left(3x^2+6x\right)-\left(5xy+10y\right)\)
=3x(x+2)-5y(x+2)
=(x+2)(3x-5y)
