如何分解x的4次方加64乘以y的4次方

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2024-12-16 11:53:02
推荐回答(2个)
回答1:

x的4次方加64乘以y的4次方
=x^4+16x^2y^2+64y^4-16x^2y^2
=(x²+8y²)²-16x²y²
=(x²+8y²+4xy)(x²+8y²-4xy)

回答2:

x^4+64y^4
=(x^2)^2+(8y^2)^2+16(xy)^2-16(xy)^2
=[x^2+8y^2]^2-16(xy)^2
=(x^2+8y^2-4xy)(x^2+8y^2+4xy)