(x+2y)²-(x-2y)² 分解因式的结果
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![(x+2y)²-(x-2y)² 分解因式的结果](/uploads/image/z/1076761-1-1.jpg?t=%EF%BC%88x%2B2y%EF%BC%89%26%23178%3B-%EF%BC%88x-2y%EF%BC%89%26%23178%3B+%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E7%9A%84%E7%BB%93%E6%9E%9C)
(x+2y)²-(x-2y)² 分解因式的结果
(x+2y)²-(x-2y)² 分解因式的结果
(x+2y)²-(x-2y)² 分解因式的结果
用平方差公式即可
(x+2y)²-(x-2y)²
=(x+2y+x-2y)(x+2y-x+2y)
=8xy
原式=(x+2y+x-2y)(x+2y-x+2y)
=(2x)(4y)
=8xy
8xy
(x + 2 y)² - (x - 2 y)²
= 【(x + 2 y)+ (x - 2 y)】【(x + 2 y)- (x - 2 y)】
= (x + 2 y + x - 2 y)(x + 2 y - x + 2 y)
= 2 x · 4 y
= (2 × 4)x y
= 8 x y