初一数学题(因式分解）

来源：百度知道 编辑：UC知道 时间：2024/05/17 02:30:31
A^2-4b^2
(X+Y)^2-Z^2
X^2+X+0.25
-2MN-M^2-N^2
4A-A^2
2X^5-8XY^2
4M^3+4M^2+M
(X^2+3X)^2-(X-1)^2
81X^4-18X^2Y^2+Y^4
(A+B)^2-2(A+B)C+C^2

A^2-4b^2
=(A+2B)(A-2B)
(X+Y)^2-Z^2
=(X+Y+Z)(X+Y-Z)
X^2+X+0.25
=(X+1/2)^2
-2MN-M^2-N^2
=-(M+N)^2
4A-A^2
=A(4-A)
2X^5-8XY^2
=2X(X^4-4Y^2)
=2X(X^2+2Y)(X^2-2Y)
4M^3+4M^2+M
=M(4M^2+4M+1)
=M(2M+1)^2
(X^2+3X)^2-(X-1)^2
=(X^2+3X+X-1)(X^2+3X-X+1)
=(X^2+4X-1)(X^2+2X+1)
=(X^2+4X-1)(X+1)^2
81X^4-18X^2Y^2+Y^4
=(9X^2-Y^2)^2
=(3X+Y)^2(3X-Y)^2
(A+B)^2-2(A+B)C+C^2
=(A+B-C)^2

你是在偷懒

A^2-4b^2
=(A+2b)(A-2b);

(X+Y)^2-Z^2
=(X+Y+Z)(X+Y-Z);

X^2+X+0.25
=(X+0.5)^2;

-2MN-M^2-N^2
=-(M^2+2MN+N^2)
=-(M+N)^2;

4A-A^2
=A(4-A);

2X^5-8XY^2
=2X(X^4-4Y^2)
=2X(X^2+2Y)(X^2-2Y);

4M^3+4M^2+M
=M(4M^2+4M+1)
=M(2M+1)^2;

(X^2+3X)^2-(X-1)^2
=[(X^2+3X)-(X-1)][(X^2+3X)+(X-1)]
=(X^2+2X+1)(X^2+4X-1)
=(X+1)^2(X^2+4X-1);

81X^4-18X^2Y^2+Y^4