6.分解因式 x²-Y²-3X-3Y .

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6.分解因式 x²-Y²-3X-3Y .

6.分解因式 x²-Y²-3X-3Y .
6.分解因式 x²-Y²-3X-3Y .

6.分解因式 x²-Y²-3X-3Y .
方法一:X²-Y²-3X-3Y
=X²-3X+9/4-Y²-3Y-9/4
=(X-3/2)²-(Y+3/2)²
=(X-3/2+Y+3/2)(X-3/2-Y-3/2)
=(X+Y)(X-Y-3)
方法二:x²-Y²-3X-3Y
=(x+y)(x-y)-3(x+y)
=(x+y)(x-y-3)

x²-Y²-3X-3Y
=(x+y)(x-y)-3(x+y)
=(x+y)(x-y-3)

x²-Y²-3X-3Y=(x+y)(x-y)-3(x+y)=(x+y)(x-y-3)

x²-Y²-3X-3Y
= (x+y)(x-y)-3(x+y)
= (x+y)(x-y-3)