计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)

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计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)由于x^2-y

计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)
计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)

计算(x-y)(x^2-y^2)(x+y)(利用乘法公式展开)
由于x^2-y^2=(x-y)(x+y)(平方差)
则(x-y)(x^2-y^2)(x+y) = (x-y)(x-y)(x+y)(x+y) = [(x-y)^2][(x+y)^2]

(x-y)(x²-y²)(x+y)
=(x-y)(x+y)(x²-y²)
=(x²-y²)(x²-y²)
=(x²-y²)²
=x^4-2x²y²+y^4

由于x^2-y^2=(x-y)(x+y)(平方差)
则(x-y)(x^2-y^2)(x+y) = (x-y)(x-y)(x+y)(x+y) = [(x-y)^2][(x+y)^2]