Factorization, 8A ^ 2-2

8a²-2
=2(4a²-1)
=2(2a+1)(2a-1)

Given the function FX = x3-3x, find its extreme value on [- 3,3 / 2],

f(x)=x^3-3x,
If f '(x) = 3x ^ 2-3 and f' (x) > 0, then x1,
So when x = - 1, the maximum value is 2
When x = 1, the minimum value is - 2

It is known that the value of the algebraic formula X / 3-x-1 / 2 is 1 greater than that of 3x-1 / 6, so the value of X can be obtained

x/3-(x-1)/2=(3x-1)/6+1
Multiply both sides by six
2x-3(x-1)=3x-1+6
2x-3x+3=3x-1+6
-4x=2
∴x=-1/2

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