UC知道数学题几道,高分悬赏!~
来源：百度知道 编辑：UC知道 时间：2024/06/06 07:17:18
将下列多项式进行因式分解
1. 2A(Y-Z)-3B(Y-Z)
2. X^2×Y^2-Z^2
3. -X^2+36
4. 25X^2+10XY+Y^2
5. (X+Y)^2-2(X+Y)+1
6. A^2(X-Y)-B^2(X-Y)
7. X^4×Y-2X^2×Y+Y
8. -16M^4+N^4
9. (X^2+Y^2)^2-4X^2×Y^2
10. 81X^4-72X^2×Y^2+16Y^4
利用因式分解计算
11. 2004^2-4008×2005+2005^2
12. 1001/2003^2-2001^2
13. 已知X-Y=2,XY=4,求2X^3×Y^2-4X^2×Y^2+2XY^3的值.
1. 2A(Y-Z)-3B(Y-Z)
2. X^2×Y^2-Z^2
3. -X^2+36
4. 25X^2+10XY+Y^2
5. (X+Y)^2-2(X+Y)+1
6. A^2(X-Y)-B^2(X-Y)
7. X^4×Y-2X^2×Y+Y
8. -16M^4+N^4
9. (X^2+Y^2)^2-4X^2×Y^2
10. 81X^4-72X^2×Y^2+16Y^4
利用因式分解计算
11. 2004^2-4008×2005+2005^2
12. 1001/2003^2-2001^2
13. 已知X-Y=2,XY=4,求2X^3×Y^2-4X^2×Y^2+2XY^3的值.
1. 2A(Y-Z)-3B(Y-Z)
=(Y-Z)(2A-3B)
2. X^2×Y^2-Z^2
=(XY+Z)(XY-Z)
3. -X^2+36
=-(X^2-36)
=-(X+6)(X-6)
4. 25X^2+10XY+Y^2
=(5X+Y)^2
5. (X+Y)^2-2(X+Y)+1
=(X+Y-1)^2
6. A^2(X-Y)-B^2(X-Y)
=(X-Y)(A^2-B^2)
=(X-Y)(A+B)(A-B)
7. X^4×Y-2X^2×Y+Y
=Y(X^4-2X^2+1)
=Y(X^2-1)^2
=Y(X-1)^2(X+1)^2
8. -16M^4+N^4
=-(16M^4-N^4)
=-(4M^2+N^2)(4M^2-N^2)
=-(4M^2+N^2)(2M+N)(2M-N)
9. (X^2+Y^2)^2-4X^2×Y^2
=X^4+Y^4-2X^2Y^2
=(X^2-Y^2)^2
=(X+Y)^2(X-Y)^2
10. 81X^4-72X^2×Y^2+16Y^4
=(9x^2-4y^2)^2
=(3x-2y)^2(3x+2y)^2
利用因式分解计算
11. 2004^2-4008×2005+2005^2
=(2004-2005)^2
=1
12. 1001/2003^2-2001^2
=1001/4004
=1/4
13. 已知X-Y=2,XY=4,求2X^3×Y^2-4X^2×Y^2+2X^2Y^3的值.
望采纳，谢
将下列多项式进行因式分解
1. 2A(Y-Z)-3B(Y-Z)
解：(2A-3B)(Y-Z)
2. X^2