(1).x^2-4y^2+x+2y (2).(x-y)^2-4(x+y-1) (3).x^n^+^1-2x^n+x^n-1(n是大于1的正数) 多项式因式分解
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![(1).x^2-4y^2+x+2y (2).(x-y)^2-4(x+y-1) (3).x^n^+^1-2x^n+x^n-1(n是大于1的正数) 多项式因式分解](/uploads/image/z/5919913-1-3.jpg?t=%EF%BC%881%EF%BC%89.x%5E2-4y%5E2%2Bx%2B2y+%282%29.%28x-y%29%5E2-4%28x%2By-1%29+%283%29.x%5En%5E%2B%5E1-2x%5En%2Bx%5En-1%EF%BC%88n%E6%98%AF%E5%A4%A7%E4%BA%8E1%E7%9A%84%E6%AD%A3%E6%95%B0%EF%BC%89+%E5%A4%9A%E9%A1%B9%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
(1).x^2-4y^2+x+2y (2).(x-y)^2-4(x+y-1) (3).x^n^+^1-2x^n+x^n-1(n是大于1的正数) 多项式因式分解
(1).x^2-4y^2+x+2y (2).(x-y)^2-4(x+y-1) (3).x^n^+^1-2x^n+x^n-1(n是大于1的正数) 多项式因式分解
(1).x^2-4y^2+x+2y (2).(x-y)^2-4(x+y-1) (3).x^n^+^1-2x^n+x^n-1(n是大于1的正数) 多项式因式分解
(1).x^2-4y^2+x+2y
=(x+2y)(x-2y)+(x+2y)
=(x+2y)(x-2y+1)
(2).(x-y)^2-4(x+y-1)
=(x-y)²-4(x+y)+4
=(x-y-2)²
(3).x^n^+^1-2x^n+x^n-1
=x^n-1(x²-2x+1)
=x^n-1 (x-1)²
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(1).x^2-4y^2+x+2y
=(X+2Y)(X-2Y)+(X+2Y)
=(X+2Y)(X-2Y+1)
(2). (x-y)^2-4(x+y-1)
=(X-Y)^2-4(X-Y)+4(改了一个符号)。
=(X-Y-2)^2
(3). x^n^+^1-2x^n+x^n-1
=X^(n-1)(X^2-2X+1)
=X^(n-1)(X-1)^2
(1)x^2-4y^2+x+2y
=(x+2y)(x-2y)+(x+2y)
=(x+2y)(x-2y+1)
(2)(x-y)^2-4(x+y-1)
=(x-y)^2-4(x-y)+4
=(x-y-2)^2
(3)这题目应该是X^(N+1)-2X^N+X^(N-1)吧
X^(n+1)-2X^n+X^(n-1)
=x^(n-1), (x^2-2x+1)
=x^(n-1) (x-1)^2