X is equal to the root 3 minus 2, find the fourth power of x plus 4 times the third power of X, add 3 times the second power of x plus 8x minus 4

From the known x = √ 3-2
So x + 2 = √ 3
So x2 + 4x + 4 = 3
So x2 + 4x = - 1
X4+4x3+3x2+8x－4
=(X4+4x3)+(3x2+12x)－4x－4
=X2(x2+4x)+3(x2+4x)－4x－4
=－x2－3－4x－4
=－(x2+4x)－7
=－(－1)－7
=1－7
=－6
Take x 2 + 4x as a whole, do deformation and substitution

X is equal to the root 3 minus 2, find the fourth power of x plus 4 times the third power of X, add 3 times the second power of x plus 8x minus 4

X is equal to the root 3 minus 2, find the fourth power of x plus 4 times the third power of X, add 3 times the second power of x plus 8x minus 4

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