分解因式(1)X^3-9X (2)16X^4-1 (3)6XY^2-9X^2Y-Y^3 (4) (2A-B)^2+8AB

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分解因式(1)X^3-9X (2)16X^4-1 (3)6XY^2-9X^2Y-Y^3 (4) (2A-B)^2+8AB
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分解因式(1)X^3-9X (2)16X^4-1 (3)6XY^2-9X^2Y-Y^3 (4) (2A-B)^2+8AB
分解因式(1)X^3-9X (2)16X^4-1 (3)6XY^2-9X^2Y-Y^3 (4) (2A-B)^2+8AB

分解因式(1)X^3-9X (2)16X^4-1 (3)6XY^2-9X^2Y-Y^3 (4) (2A-B)^2+8AB
(1)X^3-9X
=X(X^2-9)
=X(X+3)(X-3)
(2)16X^4-1
=(4X^+1)(4X^2-1)
=(4X^2+1)(2X+1)(2X-1)
(3)6XY^2-9X^2Y-Y^3
=-Y(9X^2-6XY+Y^2)
=-Y(3X-Y)^2
(4) (2A-B)^2+8AB
=4A^2-4AB+B^2+8AB
=4A^2+4AB+B^2
=(2A+B)^2