(X-3y)(x+3y)-(x-3y)^2

来源:百度知道 编辑:UC知道 时间:2024/05/15 18:15:56
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原式=(x-3y)(x+3y-x+3y)
=6y(x-3y)
=6xy-18y^2

标准答案来了
(X-3y)(x+3y)-(x-3y)^2
=(x-3y)(x+3y)-(x-3y)(x-3y)
=(x-3y)[(x+3y)-(x-3y)]
=(x-3y)[x+3y-x+3y]
=(x-3y)(6y)
=6y(x-3y)

你要求什么?
=x^2-9y^2-x^2+6y-9y^2
=6y

原式=(X-3Y)(X+3Y-X+3Y)
=(X-3Y)*6Y
=6XY-18Y^2

(X-3y)(x+3y)-(x-3y)^2=x^2-9y^2-(x^2-6xy+9y^2)=6xy-18y^2

6XY