9(a-b)²+12(a²-b²)+4(a+b)²a³-10a²+25ax²+2x+1-y²25(m+n-3)²-9(3m-2n)²

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 11:37:15
9(a-b)²+12(a²-b²)+4(a+b)²a³-10a²+25ax²+2x+1-y²25(m+n-3)²-9(3m-2n)²

9(a-b)²+12(a²-b²)+4(a+b)²a³-10a²+25ax²+2x+1-y²25(m+n-3)²-9(3m-2n)²
9(a-b)²+12(a²-b²)+4(a+b)²
a³-10a²+25a
x²+2x+1-y²
25(m+n-3)²-9(3m-2n)²

9(a-b)²+12(a²-b²)+4(a+b)²a³-10a²+25ax²+2x+1-y²25(m+n-3)²-9(3m-2n)²
9(a-b)²+12(a²-b²)+4(a+b)²
=(3(a-b))+2*3*2(a+b)(a-b)+(2(a+b))²
=(3(a-b)+2(a+b))²
=(5a-b)²
a³-10a²+25a
=a(a²-2*5*a+5²)
=a(a-5)²
x²+2x+1-y²
=(x+1)²-y²
=(x+1+y)(x+1-y)
25(m+n-3)²-9(3m-2n)²
=(5(m+n-3))²-(3(3m-2n))²
=(5(m+n-3)+3(3m-2n))(5(m+n-3)-3(3m-2n))
=(14m-n-15)(-4m+11n-15)

1原式=【3(a-b)+2(a+b)】²
=(5a-b)²
2原式=a(a²-10a+25)
=a(a-5)²
3原式=(x+1)²-y²
=(x+1+y)(x+1-y)
4原式=【5(m+n-3)+3(3m-2n)】【5(m+n-3)-3(3m-2n)】
=(14m-n-15)(11n-4m-15)