Question

已知(x-y)乘(x-y)的三次方乘(x-y)的m次方=(x-y)的12次方 求（4m+2m+1）— 2（2m的二次方-m-5）的值

快

Answer 1

(x-y)乘(x-y)的三次方乘(x-y)的m次方=(x-y)的12次方
(x-y)的(1+3+m)次方=(x-y)的12次方.
(x-y)的(4+m)次方=(x-y)的12次方
4+m=12
m=8,
（4m的二次方+2m+1）— 2（2m的二次方-m-5）?
=4m²+2m+1-4m²+2m+10
=4m+11
=4*8+11
=32+11
=43.

[（4m+2m+1）— 2（2m的二次方-m-5）
=6m+1-4m²+2m+10
=-4m²+8m+11
=-4*8²+8*8+11
=-192+11
=-181]

Answer 2

(x-y)(x-y)^3(x-y)^m=(x-y)^12
(x-y)^(m+4)=(x-y)^12
m+4=12
m=8
(4m+2m+1)-2(2m^2-m-5)
=-4m^2+8m+11
=-4×64+8×8+11
=-181

Answer 3

(x-y)乘(x-y)的三次方乘(x-y)的m次方=(x-y)的12次方
(x-y)的(1+3+m)次方=(x-y)的12次方.
(x-y)的(4+m)次方=(x-y)的12次方
4+m=12
m=8,
（4m的二次方+2m+1）— 2（2m的二次方-m-5）?
=4m²+2m+1-4m²+2m+10
=4m+11
=4*8+11
=32+11
=43.