polynomial`2
回答 (3)
2008-07-03 9:05 am
(x+y)^5(x-y)
=(x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5)(x-y)
=x^6+5x^5y+10x^4y^2+10x^3y^3+5x^2y^4+xy^5-yx^5-5x^4y^2-10x^3y^3-10x^2y^4-5xy^5-y^6
=(x^6-y^6)+(5x^5y-yx^5)+(10x^4y^2-5x^4y^2)+(10x^3y^3-10x^3y^3)+(5x^2y^4-10x^2y^4)+(xy^5-5xy^5)
=x^6-y^6+4x^5y-x^4y^2-5x^2y^4-4xy^5
So no equal to (x^6)(y^6)
=(x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5)(x-y)
=x^6+5x^5y+10x^4y^2+10x^3y^3+5x^2y^4+xy^5-yx^5-5x^4y^2-10x^3y^3-10x^2y^4-5xy^5-y^6
=(x^6-y^6)+(5x^5y-yx^5)+(10x^4y^2-5x^4y^2)+(10x^3y^3-10x^3y^3)+(5x^2y^4-10x^2y^4)+(xy^5-5xy^5)
=x^6-y^6+4x^5y-x^4y^2-5x^2y^4-4xy^5
So no equal to (x^6)(y^6)
2008-07-02 2:30 am
(x+y)^5(x -y) is a polynomial of degree 6.
x^6y^6 is a monomial of degree 12.
Therefore, they are certainly not equal.
x^6y^6 is a monomial of degree 12.
Therefore, they are certainly not equal.
2008-07-02 1:56 am
(x+y)5(x-y)係唔係等於 (x6)(y6)?
應該不等於!!!!!!!!!!!!!!!!!!!!!!!
應該不等於!!!!!!!!!!!!!!!!!!!!!!!
收錄日期: 2021-04-19 01:23:08
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