1.4a²b²-2a三次方b+6ab²
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1.4a²b²-2a三次方b+6ab²
2.(a²-9b²)+(a-3b)
3.-9x²+24xy-16y²
4.a²(16x-y)+b²(y-16x)
5.2(x-y)²+20(x-y)+50
不好意思我只有3分了
2.(a²-9b²)+(a-3b)
3.-9x²+24xy-16y²
4.a²(16x-y)+b²(y-16x)
5.2(x-y)²+20(x-y)+50
不好意思我只有3分了
1.
4a²b²-2a^3b+6ab²
=4a²b²-2a^3b+4ab²+2ab²
=4ab²(a+1)-2ab²(a²-1)
=4ab²(a+1)-2ab²(a-1)(a+1)
=2ab²〔 2(a+1)-(a-1)(a+1)〕
=2ab²(a+1)(2-a+1)
=2ab²(a+1)(3-a)
2.
(a²-9b²)+(a-3b)
=(a+3b)(a-3b)+(a-3b)
=(a-3b)(a+3b+1)
3.
-9x²+24xy-16y²
=-(9x²-24xy+16y²)
=-(3x-4y)²
4.
a²(16x-y)+b²(y-16x)
=a²(16x-y)-b²(16x-y)
=(a²-b²)(16x-y)
=(a+b)(a-b)(16x-y)
5、
2(x-y)²+20(x-y)+50
=2〔 (x-y)²+10(x-y)+25 〕
=2(x-y+5)²
4a²b²-2a^3b+6ab²
=4a²b²-2a^3b+4ab²+2ab²
=4ab²(a+1)-2ab²(a²-1)
=4ab²(a+1)-2ab²(a-1)(a+1)
=2ab²〔 2(a+1)-(a-1)(a+1)〕
=2ab²(a+1)(2-a+1)
=2ab²(a+1)(3-a)
2.
(a²-9b²)+(a-3b)
=(a+3b)(a-3b)+(a-3b)
=(a-3b)(a+3b+1)
3.
-9x²+24xy-16y²
=-(9x²-24xy+16y²)
=-(3x-4y)²
4.
a²(16x-y)+b²(y-16x)
=a²(16x-y)-b²(16x-y)
=(a²-b²)(16x-y)
=(a+b)(a-b)(16x-y)
5、
2(x-y)²+20(x-y)+50
=2〔 (x-y)²+10(x-y)+25 〕
=2(x-y+5)²
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