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

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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

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)

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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)