若A={x丨x²;+3x-10

若A={x丨x²;+3x-10


x²;+3x-10



A={x|x2+ax+1=0},B={x|x2-3x+2=0},且A包含於B,求a的取值範圍為


x^2-3x+2≤0
(x-1)(x-2)≤0
1≤x≤2
所以B={x|1≤x≤2}
x^2+ax+1≤0
(1)a^2-4



若3x2a+b+5ya-2b-2=0是關於字母x,y的二元一次方程,則ab=______.


因為3x2a+b+5ya-2b-2=0是關於字母x,y的二元一次方程,則2a+b=1且a-2b-2=1,解得a=1,b=-1,所以ab=1.



2x(a-b)-(b-a)因式分解


原式=2x(a-b)+(a-b)
=(a-b)(2x+1)



因式分解2x(a-b)-6(b-a)


=2x(a-b)+6(a-b)=(2x+6)(a-b)



2x(a-b)-4y(b-a)因式分解


2x(a-b)-4y(b-a)
=2x(a-b)+4y(a-b)
=2(a-b)(x+2y)



因式分解(x+a)3+(x+b)3-(2x+a+b)3





幾道因式分解
(1)x³;+x²;+2xy+y²;+y³;
(2)x³;+3x²;y+3xy²;+y³;
(3)x³;-3x²;y+3xy²;-y³;
(4)x³;+3x²;+3x+2


(1)(x³;+y³;)+(x²;+2xy+y²;)=(x+y)(x²;-xy+y²;)+(x+y)(x+y)=(x+y)(x²;-xy+y²;+x+y)
(2)(x³;+y³;)+3xy(x+y)=(x+y)(x²;-xy+y²;)+3xy(x+y)=(x+y)(x+y)(x+y)
(3)(x³;-y³;)-3xy(x-y)=(x-y)(x²;+xy+y²;)-3xy(x-y)=(x-y)(x-y)(x-y)
(4)(x³;-1)+3x²;+3x+3=(x-1)(x²;+x+1)+3(x²;+x+1)=(x+2)(x²;+x+1)



求這幾道因式分解,
1.4A^-9B^+C^-4AC
2.(AX+BY)^+(BX-AY)^
3.X^(X-Y)+(Y-X)
4.(X-3)(X-1)+1
5.P(X-Y)-Q(Y-X)
6.(X+Y)^-(Y+X)
注:^為平方的意思





(a+b)^4-(a+b)^2
x^2(x-y)+y^2(x-y)
(7m+3n)^2-(5m+7n)^2


1、(a+b)^4-(a+b)^2=<(a+b)^ 2+a+b)><(a+b)^2-a-b>=(a+b)(a+b+1)<(a+b)^2-a-b>2、x^2(x-y)+y^2(x-y)=(x-y)(x^2-y^2)=(x-y)(x+y)(x-y)=(x+y)(x-y)^23、(7m+3n)^2-(5m+7n)^2=(7m+3n+5m+7n)(7m+3n-5m-7n)=(12m…