1ã2ï¼x+yï¼^2-4(x+y)
=2(x+y)²-2(x+y)*2
=2(x+y)*(x+y-2)
2ã1/2(x-2y)-(2y-x)^2
=1/2(x-2y)-(x-2y)²
=1/2(x-2y)[1-2(x-2y)]
=1/2(x-2y)(-2x+4y+1)
=-1/2(x-2y)(2x-4y-1)
3ã(2a+b)(a-2b)-(2b-a)(2a+3b)
=(2a+b)(a-2b)+(a-2b)(2a+3b)
=(a-2b)(2a+b+2a+3b)
=(a-2b)(4a+4b)
=4(a-2b)(a+b)
4ã-3a^2(x-2y)^3+12a(2y-x)^4
=-3a²(x-2y)³+12a(x-2y)^4
=-3a(x-2y)³[a-4(x-2y)]
=-3a(x-2y)³(a-4x+8y)
5ã24a^2b^3c(x+y-z)-18a^3bc^2(z-y-x)-36abc(x-z+y)
=24a²b³c(x+y-z)+18a³bc²(x+y-z)-36abc(x+y-x)
=6abc(x+y-z)(4ab²+3a²c-6)
6ã3a^n(1-a)-2(a^n-a^n+1)(næ¯æ´æ°)
=3a^n*(1-a)-2a^n+2a^(n+1)
=a^n*[3(1-a)-2+2a]
=a^n*(3-3a-2+2a)
=a^n*(-a+1)
=-a^n*(a-1)
7ã(a-b)^m-(b-a)^m+1(mæ¯æ´æ°)
â m为å¶æ°,åm+1为å¥æ°
åå¼=(a-b)^m+(a-b)^(m+1)
=(a-b)^m*(1+a-b)
â¡m为å¥æ°,åm+1为å¶æ°
åå¼=(a-b)^m-(a-b)^(m+1)
=(a-b)^m*(1-a+b)
8ãï¼x-yï¼(2p-q)-2(y-x)(2q-p)
=(x-y)(2p-q)+2(x-y)(2q-p)
=(x-y)*[(2p-q)+2(2q-p)]
=(x-y)(2p-q+4q-2p)
=(x-y)(3q)
=3q(x-y)
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