因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧4 (3)4x²-y²+2x-y (4)a^4 +a³+a+1 (5)x^4 y+2x³y²-x²y-2xy² (6)x²-8y
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![因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧4 (3)4x²-y²+2x-y (4)a^4 +a³+a+1 (5)x^4 y+2x³y²-x²y-2xy² (6)x²-8y](/uploads/image/z/4352814-54-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%88%E6%9C%80%E5%A5%BD%E6%9C%89%E8%BF%87%E7%A8%8B%EF%BC%89+%281%29x%26%23179%3By-xy%26%23179%3B+%282%29a%E2%88%A74+b-ab%E2%88%A7%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%88%E6%9C%80%E5%A5%BD%E6%9C%89%E8%BF%87%E7%A8%8B%EF%BC%89+%281%29x%26%23179%3By-xy%26%23179%3B+%282%29a%E2%88%A74+b-ab%E2%88%A74+%283%294x%26%23178%3B-y%26%23178%3B%2B2x-y+%284%29a%5E4+%2Ba%26%23179%3B%2Ba%2B1+%285%29x%5E4+y%2B2x%26%23179%3By%26%23178%3B-x%26%23178%3By-2xy%26%23178%3B+%286%29x%26%23178%3B-8y%26%2317)
因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧4 (3)4x²-y²+2x-y (4)a^4 +a³+a+1 (5)x^4 y+2x³y²-x²y-2xy² (6)x²-8y
因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧
因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧4 (3)4x²-y²+2x-y (4)a^4 +a³+a+1 (5)x^4 y+2x³y²-x²y-2xy² (6)x²-8y³-x²-2xy-4y² (7)x²+x-(y²+y) (8)ab(x²-y²)+xy(a²-b²)
因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧因式分解(最好有过程) (1)x³y-xy³ (2)a∧4 b-ab∧4 (3)4x²-y²+2x-y (4)a^4 +a³+a+1 (5)x^4 y+2x³y²-x²y-2xy² (6)x²-8y
解
x^3y-xy^3
=xy(x^2-y^2)
=xy(x-y)(x+y)
a^4b-ab^4
=ab(a^3-b^3)
=ab(a-b)(a^2+ab+b^2)
4x^2-y^2+2x-y
=(2x-y)(2x+y)+(2x-y)
=(2x-y)(2x+y+1)
a^4+a^3+a+1
=a^3(a+1)+(a+1)
=(a+1)(a^3+1)
=(a+1)(a+1)(a^2-a+1)
=(a+1)^2(a^2-a+1)
x^4y+2x^3y^2-x^2y-2xy^2
=x^3y(x+2y)-xy(x+2y)
=xy(x^2-1)(x+2y)
=xy(x-1)(x+1)(x+2y)
x^2-8y^3-x^2-2xy-4y^2——这道题有没有弄错?
x^2+x-(y^2+y)
=(x^2-y^2)+(x-y)
=(x-y)(x+y)+(x-y)
=(x-y)(x+y+1)
ab(x^2-y^2)+xy(a^2-b^2)
=abx^2-aby^2+xya^2-xyb^2
=xa(bx+ya)-yb(ay+xb)
=(xa-yb)(bx+ya)