初二代数,因式分解,求大神帮忙啊!谢! 能写多少写多少吧,前三题一定要有,谢谢!
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2014-12-15 · 知道合伙人教育行家
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(1)
2a+2a²+4a³
= 2a(1+a+2a²)
(2)
5x³y-5xy
=5xy(x²-1)
=5xy(x+1)(x-1)
(3)
a²+b²+2ab+16
=(a+b)²-4²
=(a+b+4)(a+b-4)
(4)
4x³-8x²+4x
=4x(x²-2x+1)
=4x(x-1)²
(5)
(x+y)²-2x-2y+1
=(x+y)²-2(x+y)+1
={(x+y)-1}²
=(x+y-1)²
(6)
(x²+y²-1)²-4x²y²
=(x²+y²-1+2xy) (x²+y²-1-2xy)
={(x+y)²-1)}{(x-y)²-1}
=(x+y+1)(x+y-1)(x-y+1)(x-y-1)
2a+2a²+4a³
= 2a(1+a+2a²)
(2)
5x³y-5xy
=5xy(x²-1)
=5xy(x+1)(x-1)
(3)
a²+b²+2ab+16
=(a+b)²-4²
=(a+b+4)(a+b-4)
(4)
4x³-8x²+4x
=4x(x²-2x+1)
=4x(x-1)²
(5)
(x+y)²-2x-2y+1
=(x+y)²-2(x+y)+1
={(x+y)-1}²
=(x+y-1)²
(6)
(x²+y²-1)²-4x²y²
=(x²+y²-1+2xy) (x²+y²-1-2xy)
={(x+y)²-1)}{(x-y)²-1}
=(x+y+1)(x+y-1)(x-y+1)(x-y-1)
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