Question

求教一道数学题已知x=√3减2,求x的4次方加4倍的x的3次方加3倍的x的2次方减4x减4的值答案是18-12√3吗?昨

Answer 1

x的4次方加4倍的x的3次方加3倍的x的2次方减4x减4

=x^2(x+2)^2 -(x+2)^2

=(x+2)^2(x^2 -1)

=(x+2)^2 (x -1) (x+1)

=(√3-2+2)^2(√3-2-1)(√3-2+1)

=18-12√3