(X+Y)²-16(X-Y)²分解因式

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(X+Y)²-16(X-Y)²分解因式(X+Y)²-16(X-Y)²分解因式(X+Y)²-16(X-Y)²分解因式(X+Y)²-1

(X+Y)²-16(X-Y)²分解因式
(X+Y)²-16(X-Y)²分解因式

(X+Y)²-16(X-Y)²分解因式
(X+Y)²-16(X-Y)²
=(X+Y)²-[4(X-Y)]²
=(X+Y+4X-4Y)(X+Y-4X+4Y)
=(5X-3Y)(5Y-3X)