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分解因式(1)16(a-b)2-9(a+b)2; (2)(x+y)(m+n)2-(x+y)(m-n)2(3)(x+y)2-4x2y2
分解因式(1)16(a-b)2-9(a+b)2;(2)(x+y)(m+n)2-(x+y)(m-n)2(3)(x+y)2-4x2y2....
分解因式(1)16(a-b)2-9(a+b)2; (2)(x+y)(m+n)2-(x+y)(m-n)2(3)(x+y)2-4x2y2.
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(1)16(a-b)2-9(a+b)2
=[4(a-b)+3(a+b)][4(a-b)-3(a+b)]
=(4a-4b+3a+3b)(4a-4b-3a-3b)
=(7a-b)(a-7b);
(2)(x+y)(m+n)2-(x+y)(m-n)2
=(x+y)[(m+n)+(m-n)][(m+n)-(m-n)]
=(x+y)(m+n+m-n)(m+n-m+n)
=4mn(x+y);
(3)(x+y)2-4x2y2
=(x+y+2xy)(x+y-2xy).
=[4(a-b)+3(a+b)][4(a-b)-3(a+b)]
=(4a-4b+3a+3b)(4a-4b-3a-3b)
=(7a-b)(a-7b);
(2)(x+y)(m+n)2-(x+y)(m-n)2
=(x+y)[(m+n)+(m-n)][(m+n)-(m-n)]
=(x+y)(m+n+m-n)(m+n-m+n)
=4mn(x+y);
(3)(x+y)2-4x2y2
=(x+y+2xy)(x+y-2xy).
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