p^2(x-y)^2-q^2(y-x)^4分解因式

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p^2(x-y)^2-q^2(y-x)^4分解因式p^2(x-y)^2-q^2(y-x)^4分解因式p^2(x-y)^2-q^2(y-x)^4分解因式p^2(x-y)^2-q^2(y-x)^4=p^2

p^2(x-y)^2-q^2(y-x)^4分解因式
p^2(x-y)^2-q^2(y-x)^4分解因式

p^2(x-y)^2-q^2(y-x)^4分解因式
p^2(x-y)^2-q^2(y-x)^4
=p^2(x-y)^2-q^2(x-y)^4
=(x-y) ^2[p^2-(qx-qy)^2]
=(x-y)^2(p+qx-qy)(p-qx+qy)

(x-y)^2(p+qx-qy)(p-qx+qy)

p^2(x-y)^2-q^2(y-x)^4
=p^2(x-y)^2-q^2(x-y)^4
=(x-y)²[p²-q²(x-y)²]
=(x-y)²(p+qx-qy)(p-qx+qy)