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A^2-4b^2(X+Y)^2-Z^2X^2+X+0.25-2MN-M^2-N^24A-A^22X^5-8XY^24M^3+4M^2+M(X^2+3X)^2-(X-1)^281X^4-18X^2Y^2+Y^4(A+B)^2-2(A+B)C+C^2
题目详情
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
(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
▼优质解答
答案和解析
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
=(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
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