数学的因式分解
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9x^2 + 16y^2 =24xy
9x^2 + 16y^2-24xy =0
(3x-4y)^=0
3x-4y=0
x=4y/3
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(2x^2+xy+5Y^2)/(x^2-xy+2y^2)
=(32/9+4/3+5)y^2/(16/9-4/3+2)y^2
=9/2
(a+2b)(a-2b)(a+3b)(a-3b).\u5982\u679c\u4f60\u8ba4\u53ef\u6211\u7684\u56de\u7b54\uff0c
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\u4f60\u7684\u91c7\u7eb3\uff0c
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见图
解: (a+b/3)(a^2-1/3ab+1/9b^2)
=a^3+(b/3)^3
=a^3+b^3/27
(2)(2x+3y)(a-b)-2(a-b)(x+y)
=(a-b)[2x+3y-2(x+y)]
=(a-b)(2x+3y-2x-2y)
=(a-b)y
(3).1/2(a+b)+1/2(a-b)
=[(a-b)+(a+b)]/2(a+b)(a-b)
=2a /2(a+b)(a-b)
=a/(a+b)(a-b)
6
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