已知x-y=3,y=-2,求代数式4(x+y)+(x-y)-(x+y)-5(x-y)的值
当丨x+1丨=0时,求代数式-3x^n+1-x^n+1+3x^n-x^n+1的值
已知x-y=3,y=-2,求代数式4(x+y)+(x-y)-(x+y)-5(x-y)的值
当丨x+1丨=0时,求代数式-3x^n+1-x^n+1+3x^n-x^n+1的值
x-y=3,y=-2 x=1 4(x+y)+(x-y)-(x+y)-5(x-y)=4*(-1)+3+1-15=-15
丨x+1丨=0 x=-1 -3x^n+1-x^n+1+3x^n-x^n+1=1-2x^n+2=3+x^n
一·把y=-2带入x-y=3中,x=1
所以4(x+y)+(x-y)-(x+y)-5(x-y)
=3(X+y)-4(x-y)
=3x+3y-4x+4y
=7y-x
=-14-1
=-15
二·当丨x+1丨=0时,求代数式-3x^n+1-x^n+1+3x^n-x^n+1的值
-3x^n+1-x^n+1+3x^n-x^n+1
=(-3x^n+3x^n)-x^n-x^n+1+1
=-2x^n+2
因为丨x+1丨=0,所以x=-1
把x=-1带入-2x^n+2
当n偶数时,-2x^n+2=-2+2=0
当n奇数时,-2x^n+2=2+2=4
已知x - y = 3,y = -2,求代数式4(x + y) + (x - y) - (x + y) -5(x - y)的值。
4(x + y) + (x - y) - (x + y) -5(x - y)
= 3(x + y) - 6(x - y)
= 3(1 - 2) - 6×3
= -21
当丨x+1丨=0时,求代数式-3x^n+1-x^n+1+3x^n-x^n+1的值
x = -1
-3x^(n + 1) - x^(n + 1) + 3x^n - x^(n + 1)
1、当n为偶数时
原式 = -3×(-1) - (-1) + 3 - (-1)
= 3 + 1 + 3 + 1
= 8
2、当n为奇数时
原式 = -3×1 - 1 + 3 + 1 = -3 - 1 + 3 + 1 = 0
题目没打错,就是这样做