(1)(2x+y)²-(x+2y)² (2)(m+n)²-4m(m+n)+4m ²(3 ) (a-b)²+4ab (4)(p-4)(p+1)+3p(5)4xy²-4x²y-y³ (6)3ax²-3ay²
Saber╈┬254
解(2x+y)²-(x+2y)²=[(2x+y)-(x+2y)][(2x+y)+(x+2y)]=(x-y)(3x+3y)=3(x-y)(x+y)(m+n)²-4m(m+n)+4m²=(m+n)²-4m²-4mn+4m²=m²+2nm+n²-4mn=(m²-2mn+n²)=(m-n)²(a-b)²+4ab=a²-2ab+b²+4ab=a²+2ab+b²=(a+b)²(p-4)(p+1)+3p=p²-3p-4+3p=p²-4=(p-2)(p+2)4xy²-4x²y-y³=-y(y²-4xy+4x²)=-y(y-2x)²3ax²-3ay²=3a(x²-y²)=3a(x-y)(x+y)
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