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1、3x²-6xy+2xy²2、6(x-2)+3x(2-x)3、5(x-y³+10(y-x)²4、(4x²+y²)²-16x²y²5、169(x+p)²-196(x+q)²6、(x-1)²(5x-1)+(1-5x)
题目详情
1、3x²-6xy+2xy²
2、6(x-2)+3x(2-x)
3、5(x-y³+10(y-x)²
4、(4x²+y²)²-16x²y²
5、169(x+p)²-196(x+q)²
6、(x-1)²(5x-1)+(1-5x)
2、6(x-2)+3x(2-x)
3、5(x-y³+10(y-x)²
4、(4x²+y²)²-16x²y²
5、169(x+p)²-196(x+q)²
6、(x-1)²(5x-1)+(1-5x)
▼优质解答
答案和解析
1、
3x²-6xy+2xy²
=x(3x-6y+2y²)
2、
6(x-2)+3x(2-x)
=(x-2)(6-3x)
=3(x-2)(2-x)
=-3(x-2)²
3、
5(x-y)³+10(y-x)²
=5(x-y)³+10(x-y)²
=(x-y)²[5(x-y)+10]
=5(x-y)²(x-y+2)
4、
(4x²+y²)²-16x²y²
=(4x²+y²+4xy)(4x²+y²-4xy)
=(2x+y)²(2x-y)²
5、
169(x+p)²-196(x+q)²
=[13(x+p)]²-[14(x+q)]²
=[13(x+p)+14(x+q)]*[13(x+p)-14(x+q)]
=(27x+13p+14q)(-x+13p-14q)
6、
(x-1)²(5x-1)+(1-5x)
=(5x-1)[(x-1)²-1]
=(5x-1)(x-1+1)(x-1-1)=x(5x-1)(x-2)
3x²-6xy+2xy²
=x(3x-6y+2y²)
2、
6(x-2)+3x(2-x)
=(x-2)(6-3x)
=3(x-2)(2-x)
=-3(x-2)²
3、
5(x-y)³+10(y-x)²
=5(x-y)³+10(x-y)²
=(x-y)²[5(x-y)+10]
=5(x-y)²(x-y+2)
4、
(4x²+y²)²-16x²y²
=(4x²+y²+4xy)(4x²+y²-4xy)
=(2x+y)²(2x-y)²
5、
169(x+p)²-196(x+q)²
=[13(x+p)]²-[14(x+q)]²
=[13(x+p)+14(x+q)]*[13(x+p)-14(x+q)]
=(27x+13p+14q)(-x+13p-14q)
6、
(x-1)²(5x-1)+(1-5x)
=(5x-1)[(x-1)²-1]
=(5x-1)(x-1+1)(x-1-1)=x(5x-1)(x-2)
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