p²(X+Y)²-q²(X-Y)² 因式分解

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p²(X+Y)²-q²(X-Y)²因式分解p²(X+Y)²-q²(X-Y)²因式分解p²(X+Y)²

p²(X+Y)²-q²(X-Y)² 因式分解
p²(X+Y)²-q²(X-Y)² 因式分解

p²(X+Y)²-q²(X-Y)² 因式分解
原式为:p²(x+y)²-q²(x-y)²
=[p(x+y)]²-[q(x-y)]²
=[p(x+y)+q(x-y)][p(x+y)-q(x-y)]
=(px+py+qx-qy)(px+py-qx+qy)

p²(X+Y)²-q²(X-Y)²
=[p(X+Y)-q(X-Y) ][p(X+Y)+q(X-Y) ]
=(pX+pY-qX+qY) (pX+pY+qX-qY)

(p(x+y)+q(x-y))(p(x+y)-q(x-y))