Question

Find the factors of the following: 8x³+ 27y³- 216z³+ 108xyz

Answer 1

Step-by-step explanation:

8x^3+27y^3-216z^3+108xyz

=(2x)^3+(3y)^3+(-6z)^3-3(2x)(3y)(-6z)

=(2x+3y+(-6z)){(2x)^2+(3y)^2+(-6z)^2-2x*3y-3y(-6z)-(-6z)2x}

=(2x+3y-6z){4x^2+9y^2+36z^2-6xy+18yz+12zx}