(1)y的四次方 - y的二次方 (2)3ax的平方-3ay的平方 (3)4x的三次方-8x的平方+4x

问题描述:

(1)y的四次方 - y的二次方 (2)3ax的平方-3ay的平方 (3)4x的三次方-8x的平方+4x

(1):y^4-y^2
=y^2(y^2-1)
=y^2(y+1)(y-1)

(2):3ax^2-3ay^2
=3a(x^2-y^2)
=3a(x+y)(x-y)

(3):4x^3-8x^2+4x
=4x(x^2-2x+1)
=4x(x-1)(x-1)
=4x(x-1)^2

(1)y乘以(y的2次方-1)(2)3a的2次方(x-y)

y的4次方-y²
=y²(y²-1)
=y²(y+1)(y-1)

3ax²-3ay²
=3a(x²-y²)
=3a(x+y)(x-y)

4x³-8x²+4x
=4x(x²-2x+1)
=4x(x-1)²

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y^4-y^2
=Y^2(y+1)(y-1)
3ax^2-3ay^2
=3a(x+y)(x-y)
4x^3-8x^2+4x
=4x(x^2-2x+1)
=4x(x-1)^2