初一数学题.做对的悬赏100分因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y² 《要2步的过程,只要2步就好》
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![初一数学题.做对的悬赏100分因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y² 《要2步的过程,只要2步就好》](/uploads/image/z/2829972-12-2.jpg?t=%E5%88%9D%E4%B8%80%E6%95%B0%E5%AD%A6%E9%A2%98.%E5%81%9A%E5%AF%B9%E7%9A%84%E6%82%AC%E8%B5%8F100%E5%88%86%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A16%EF%BC%88a-b%EF%BC%89%26sup2%3B-9%EF%BC%88a%2Bb%EF%BC%89%26sup2%3B.%EF%BC%88x%2By%EF%BC%89%EF%BC%88m%2Bn%EF%BC%89%26sup2%3B-%EF%BC%88x%2By%EF%BC%89%EF%BC%88m-n%EF%BC%89%26sup2%3B.%EF%BC%88x%26sup2%3B%2By%26sup2%3B%EF%BC%89%26sup2%3B-4x%26sup2%3By%26sup2%3B+++%E3%80%8A%E8%A6%812%E6%AD%A5%E7%9A%84%E8%BF%87%E7%A8%8B%2C%E5%8F%AA%E8%A6%812%E6%AD%A5%E5%B0%B1%E5%A5%BD%E3%80%8B)
初一数学题.做对的悬赏100分因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y² 《要2步的过程,只要2步就好》
初一数学题.做对的悬赏100分
因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y² 《要2步的过程,只要2步就好》 各位大虾,做对的悬赏100分,认识我的人都知道,这100分我会给
初一数学题.做对的悬赏100分因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y² 《要2步的过程,只要2步就好》
16(a-b)²-9(a+b)²
={4(a-b)}²-{3(a+b)}²
={4(a-b)+3(a+b)}x{4(a-b)-3(a+b)}
=(7a-b)(a-7b)
(x+y)(m+n)²-(x+y)(m-n)²
=(x+y)[(m+n)²-(m-n)²]
=(x+y)[(m+n+m-n)(m+n-m+n)]
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)²
16(a-b)²-9(a+b)²
=(4a-4b)²-(3a+3b)²
=(4a-4a+3a+3b)(4a-4b-3a-3b)
(x+y)(m+n)²-(x+y)(m-n)²
=(x+y)[(m+n)²-(m-n)²]
=(x+y)[(m+n+m-n)(m+n-m+n)]
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16(a-b)²-9(a+b)²
=(4a-4b)²-(3a+3b)²
=(4a-4a+3a+3b)(4a-4b-3a-3b)
(x+y)(m+n)²-(x+y)(m-n)²
=(x+y)[(m+n)²-(m-n)²]
=(x+y)[(m+n+m-n)(m+n-m+n)]
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)²
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16(a-b)²-9(a+b)²
=(4a-4b)²-(3a+3b)²
=(4a-4a+3a+3b)(4a-4b-3a-3b)
(x+y)(m+n)²-(x+y)(m-n)²
=(x+y)[(m+n)²-(m-n)²]
=(x+y)[(m+n+m-n)(m+n-m+n)]
全部展开
16(a-b)²-9(a+b)²
=(4a-4b)²-(3a+3b)²
=(4a-4a+3a+3b)(4a-4b-3a-3b)
(x+y)(m+n)²-(x+y)(m-n)²
=(x+y)[(m+n)²-(m-n)²]
=(x+y)[(m+n+m-n)(m+n-m+n)]
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)²
收起