(x+1)(x²-2) = (x+3)³
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Answer:
Given that (x^2–2x)^3 = 3^3,
then using the cube root of both sides of the equation and get
x^2 - 2x = 3 [cubic root in both side]
x^2 - 2x -3 = 0
x^2 - 3x + x -3 = 0 [middle term break]
(x-3)(x+1) = 0
Now, x-3 = 0 or x+1 = 0
so, x = 3 or -1.
Proof:
(x^2–2x)^3, with x=3 becomes (9–6)^3 = 3^3 = RHS, Correct.
(x^2–2x)^3, with x=-1 becomes (1+2)^3 = (3)^3 = RHS, Correct
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Answer:
this is the correct answer
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