分解因式(1) 25X^2-16Y^2 (2) (A-B)(X-Y)-(B-A)(X+Y) (3)A^2-4AB+4B^2 (4)4+12(X-Y)+9(X-Y)^2

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分解因式(1) 25X^2-16Y^2 (2) (A-B)(X-Y)-(B-A)(X+Y) (3)A^2-4AB+4B^2 (4)4+12(X-Y)+9(X-Y)^2
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分解因式(1) 25X^2-16Y^2 (2) (A-B)(X-Y)-(B-A)(X+Y) (3)A^2-4AB+4B^2 (4)4+12(X-Y)+9(X-Y)^2
分解因式(1) 25X^2-16Y^2 (2) (A-B)(X-Y)-(B-A)(X+Y) (3)A^2-4AB+4B^2 (4)4+12(X-Y)+9(X-Y)^2

分解因式(1) 25X^2-16Y^2 (2) (A-B)(X-Y)-(B-A)(X+Y) (3)A^2-4AB+4B^2 (4)4+12(X-Y)+9(X-Y)^2
(1) 25X^2-16Y^2
=(5X)^2-(4Y)^2
=(5X+4Y)(5X-4Y)
(2) (A-B)(X-Y)-(B-A)(X+Y)
=(A-B)(X-Y)+(A-B)(X+Y)
=(A-B)(X-Y+X+Y)
=2X(A-B)
(3)A^2-4AB+4B^2
=(A-2B)^2
(4)4+12(X-Y)+9(X-Y)^2
=[2+3(X-Y)]^2
=(3X-3Y+2)^2