y(x-2y)-x(2y-x)
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y(x-2y)-x(2y-x)
四分之一x^2-x+1
9-a^2+2ab-b^2
9(n+m)^2-4(m-n)^2
四分之一x^2-x+1
9-a^2+2ab-b^2
9(n+m)^2-4(m-n)^2
①y(x-2y)-x(2y-x)
=y(x-2y)+x(x-2y)
=(x-2y)(y+x)
②1/4x^2-x+1(完全平方式)
=(1/2x)^2-1/2x×1×2+1^2
=(1/2x-1)^2
③9-a^2+2ab-b^2
=9-(a^2-2ab+b^2)
=3^2-(a-b)^2
=(3+a-b)(3-a+b)
④9(n+m)^2-4(m-n)^2(平方差公式)
={3(n+m)}^2-{2(m-n)}^2
={3(n+m)+2(m-n)}{3(n+m)-2(m-n)}
=(3n+3m+2m-2n)(3n+3m-2m+2n)
=(5m+n)(5n+m)
=y(x-2y)+x(x-2y)
=(x-2y)(y+x)
②1/4x^2-x+1(完全平方式)
=(1/2x)^2-1/2x×1×2+1^2
=(1/2x-1)^2
③9-a^2+2ab-b^2
=9-(a^2-2ab+b^2)
=3^2-(a-b)^2
=(3+a-b)(3-a+b)
④9(n+m)^2-4(m-n)^2(平方差公式)
={3(n+m)}^2-{2(m-n)}^2
={3(n+m)+2(m-n)}{3(n+m)-2(m-n)}
=(3n+3m+2m-2n)(3n+3m-2m+2n)
=(5m+n)(5n+m)
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