Question

the volume of the cube is given by the algebraic expression x³-9x²+27x-27. Find the possible expression for the side of the cube


please solve properly cz tomorrow is my exam.​

Answer 1

Step-by-step explanation:

x³-9x²+27x-27

Check constant term =27

factors of 27= +1,-1,+3,-3,+9,-9,+27,-27

Put x=3

27-81+81-27=0

So x=3

Means (x-3)is a factor

Divide x³-9x²+27x-27 by x-3

= x²- 6x+9

(x-3)(x²-6x+9)

(x-3)(x²-3x-3x+9)

(x-3)(x(x-3)-3(x-3))

(x-3)(x-3)(x-3)

(x-3) is the side of cube

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