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》 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
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
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
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