Question

Example 9 Factors of x³ + 27y + 8z³- 18xyz
are
(a) (x + 3y + 2)(x' +9y+4:' - 3xy--by-2x2)
(b) (x - 3y - 22:)(x4-9y + 4z + 3xy + y2 + 2xz)
(0) (x+3y - 3)(x-9y+421 - 3xy-byz-2xz)
(d) None of the above​

Answer 1

Step-by-step explanation:

x3+27y3+8z3−18xyz=x3+(3y)3+(2z)3−3(x)(3y)(2z)

As a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−b)

⇒(x3+27y3+8z3−18xyz)=(x+3y+2z)(x2+9y2+4z2−3xy−6yz−2zx)

Her a=x;b=3y & c=2z