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](/uploads/image/z/6932234-2-4.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%281%29+25X%5E2-16Y%5E2+%282%29+%28A-B%29%28X-Y%29-%28B-A%29%28X%2BY%EF%BC%89+%EF%BC%883%EF%BC%89A%5E2-4AB%2B4B%5E2+%284%294%2B12%28X-Y%29%2B9%EF%BC%88X-Y%29%5E2)
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
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