作业帮a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y) x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y)x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 00:26:23
a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y) x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y)x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解
a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y) x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解
a^2(b^2-a^2)-b^2(a^2-1)
x(x-y)-y(3x-4y)
x^2+4/1-y^2-x
-4x^3y^2+6x^2y^3-12x^2y^2
都是因式分解
a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y) x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解a^2(b^2-a^2)-b^2(a^2-1) x(x-y)-y(3x-4y)x^2+4/1-y^2-x -4x^3y^2+6x^2y^3-12x^2y^2 都是因式分解
a^2(b^2-a^2)-b^2(a^2-1)
=a²b²-a^4-a²b²+b²
=b²-a^4
=(b+a²)(b-a²)
x(x-y)-y(3x-4y)
=x²-xy-3xy+4y²
=x²-4xy+4y²
=(x-2y)²
x^2+4/1-y^2-x
=x²-x+1/4-y²
=(x-1/2)²-y²
=(x-1/2+y)(x-1/2-y)
-4x^3y^2+6x^2y^3-12x^2y^2
=-2x²y²(2x-3y+6)
a^2(b^2-a^2)-b^2(a^2-1) =a^2b^2 -a^4 -a^2b^2 +b^2 =(b+a^2)(b-a^2)
x(x-y)-y(3x-4y) =x^2-4xy+4y^2 =(x-2y)^2
x^2+4/1-y^2-x =（x-1/2）^2-y^2 = (x-1/2+y)(x-1/2-y)
-4x^3y^2+6x^2y^3-12x^2y^2 =2x...
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a^2(b^2-a^2)-b^2(a^2-1) =a^2b^2 -a^4 -a^2b^2 +b^2 =(b+a^2)(b-a^2)
x(x-y)-y(3x-4y) =x^2-4xy+4y^2 =(x-2y)^2
x^2+4/1-y^2-x =（x-1/2）^2-y^2 = (x-1/2+y)(x-1/2-y)
-4x^3y^2+6x^2y^3-12x^2y^2 =2x²y²(-2x+3y-6)
收起
a^2(b^2-a^2)-b^2(a^2-1)
=a²b²-a^4-a²b²+b²
=b²-a^4
=(b+a²)(b-a²)
x(x-y)-y(3x-4y)
=x²-xy-3xy+4y²
=(x-2y)²
...
全部展开
a^2(b^2-a^2)-b^2(a^2-1)
=a²b²-a^4-a²b²+b²
=b²-a^4
=(b+a²)(b-a²)
x(x-y)-y(3x-4y)
=x²-xy-3xy+4y²
=(x-2y)²
x^2+4/1-y^2-x
=(x-1/2)²-y²
=(x+y-1/2)(x-y-1/2)
-4x^3y^2+6x^2y^3-12x^2y^2
=-2x²y²(2x-3y+6)
收起
a^2(b^2-a^2)-b^2(a^2-1) =a^2b^2-a^4-b^2a^2+b^2=b^2-a^4=(b+a^2)(b-a^2)
x(x-y)-y(3x-4y)=x^2-xy-3xy+4y^2=x^2-4xy+4y^2=(x-2y)^2
x^2+4/1-y^2-x 此题有错误 无法完成
-4x^3y^2+6x^2y^3-12x^2y^2 ==-2x^2y^2（2x-3y+6）