Question

Q.17-Factores of (X)^3 +(2)^3 are?
A) (X-2) (x^2+2x+4)
B) (x+2) (x^2-2x+4)
C) (X+2) (x-2)
D) (X+2) (X+4)
E) (X+2) (X+2) (X+2)​

Answer 1

Sums and Differences of Cubes

2 is a root of x³-2³, so by the factor theorem, x-2 is a factor of x³-2³. In general, x-y is a factor of x³-y³ = (x-y)(x²+xy+y²), while x+y is a factor of x³+y³ = (x+y)(x²-xy+y²).

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