Question

数学题目：

因式分解：（X^2+1）^2-4X^2=?
4A^2+4A+1=?
X^2(A-B)^2-Y(A+B)^2=?
(2X-1)Y^2+(2X-1)Y=?
(A^2+B^2)^2-4A^2B^2=?
如果X+Y=0,XY=-7则X^2Y+XY^2=?,X^2+Y^2=?都是填空题只要答案不要过程

Answer 1

1.（X^2+1）^2-4X^2
=(X^2+1+2X)(X^2+1-2X)
=(X+1)^2(X-1)^2
2.4A^2+4A+1
=(2A+1)^2
3.若为:X^2(A-B)^2-Y^2(A+B)^2
=(X(A-B))(Y(A+B))
=(AX-BX)(AY+BY)
4.(2X-1)Y^2+(2X-1)Y
=(2X-1)(Y^2-Y)
5.(A^2+B^2)^2-4A^2B^2
=(A^2+B^2+2AB)(A^2+B^2-2AB)
=(A+B)^2(A-B)^2
6.如果X+Y=0,XY=-7则X^2Y+XY^2=?,X^2+Y^2=?
X^2Y+XY^2=XY(X+Y)=(-7)*0=0
X^2+Y^2=(X+Y)^2-2XY=(0)^2-2*(-7)=0+14=14

Answer 2

1\ (x+1)^2(x-1)^2
2\ (2A+1)^2
3\ [少了个^2] [x(A-B)-Y(A+B)][x(A-B)+Y(A+B)]
4\ y(2x-1)(y+1)
5\ 看不懂
6\ 0 14

Answer 3

①[(X+1)(X-1)]^2
②(2A+1)^2
③X^2(A-B)^2-Y(A+B)^2=?这个题目Y是平方吧。答案是：
[A(X+Y)-B(X-Y)][A(X-Y)-B(X+Y)]
④Y(Y+1)(2X-1)
⑤[(A+B)(A-B)]^2
⑥X^2Y+XY^2=0,X^2+Y^2=14