(1-a²)(1-b²)-4ab 2x²+4xy+2y²-x-y-1 1+x
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(1-a²)(1-b²)-4ab 2x²+4xy+2y²-x-y-1 1+x²-y²-2x+2yz 12x²+11xy-15y²-30x+8y+12 a的四次方+a²b²+b的四次方
① (1-a²)(1-b²)-4ab=1-a²-b²+a²b²-4ab
=1-2ab+a²b²-(a²+b²+2ab)
=(1-ab)²-(a+b)²
=(1-ab-a-b)(1-ab+a+b)
② 2x²+4xy+2y²-x-y-1=2(x+y)²-(x+y)-1
=(2x+2y+1)(x+y-1)
③ 应该写错了吧,怎么会有一项是2yz
④ 12x²+11xy-15y²-30x+8y+12
=12x²+(11y-30)x-(15y²-8y-12)
=12x²+(11y-30)x-(5y-6)(3y+2)
=(4x-3y-2)(3x+5y-6)
⑤ a^4+a²b²+b^4=a^4+2a²b²+b^4-a²b²
=(a²+b²)²-a²b²
=(a²+b²-ab)(a²+b²+ab)
=1-2ab+a²b²-(a²+b²+2ab)
=(1-ab)²-(a+b)²
=(1-ab-a-b)(1-ab+a+b)
② 2x²+4xy+2y²-x-y-1=2(x+y)²-(x+y)-1
=(2x+2y+1)(x+y-1)
③ 应该写错了吧,怎么会有一项是2yz
④ 12x²+11xy-15y²-30x+8y+12
=12x²+(11y-30)x-(15y²-8y-12)
=12x²+(11y-30)x-(5y-6)(3y+2)
=(4x-3y-2)(3x+5y-6)
⑤ a^4+a²b²+b^4=a^4+2a²b²+b^4-a²b²
=(a²+b²)²-a²b²
=(a²+b²-ab)(a²+b²+ab)
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