1)(х+1)³-(х-1)³=х(6х+2)
2)(x-2)³-3x²-4=(x-3)³
3)(x+2)³-(x-1)³=9x²+36
4)(x+3)³=x²(x+9)
2)(x-2)³-3x²-4=(x-3)³
3)(x+2)³-(x-1)³=9x²+36
4)(x+3)³=x²(x+9)
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Verified answer
№1x ^3 - 3x^2 + 3x - 1 - (x^3 -3x^2 + 3x - 1) = 6x^2 + 2x
6x^2 + 2x = 0
2x (3x + 1) = 0
2x = 0
x1 = 0
3x + 1 = 0
3x = - 1
x2 = - 1/3
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№3
x^3 + 3x^2*2 + 3x*4 + 8 - ( x^3 - 3x^2 + 3x -1) = 9x^2 + 36
x*3 + 6x^2 + 12x + 8 - x^3 + 3x^2 - 3x + 1) = 9x^2 + 36
x^3 + 6x^2 - 9x^2 + 12x + 8 - 36 -x^3 + 3x^2 - 3x + 1 = 0
12x - 3x -28 + 1 = 0
9x = 28 - 1
9x = 27
x = 3
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№4
x^3 + 9x^2 + 27x + 27 - x^3 - 9x^2 = 0
27x = - 27
x = - 1
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№2
х^3 - 6x^2 +12x - 8 -3x^2 -4 = x^3 - 9x^2 + 27x - 27
x^3 - 6x^2 + 12x - 8 - 3x^2 -4 - x^3 + 9x^2 - 27x + 27 = 0
12x - 12 - 27x + 27 = 0
- 15x = -27 + 12
- 15x = - 15
x = 1