分解因式计算1.a²(a-b)+b²(b-a)2.16(x+y)²-25(x-y)²3.3a²b-1/3b³4.(5m²+3n²)-(3m²+5n²)²正确的4.(5m²+3n²)²-(3m²+5n²)²

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分解因式计算1.a²(a-b)+b²(b-a)2.16(x+y)²-25(x-y)²3.3a²b-1/3b³4.(5m²+3n²)-(3m²+5n²)²正确的4.(5m²+3n²)²-(3m²+5n²)²
分解因式计算
1.a²(a-b)+b²(b-a)
2.16(x+y)²-25(x-y)²
3.3a²b-1/3b³
4.(5m²+3n²)-(3m²+5n²)²
正确的4.(5m²+3n²)²-(3m²+5n²)²

分解因式计算1.a²(a-b)+b²(b-a)2.16(x+y)²-25(x-y)²3.3a²b-1/3b³4.(5m²+3n²)-(3m²+5n²)²正确的4.(5m²+3n²)²-(3m²+5n²)²
a²(a-b)+b²(b-a)
=a²(a-b)-b²(a-b)
=(a²-b²)(a-b)
=(a-b)²(a+b)
16(x+y)²-25(x-y)²
=[4(x+y)]²-[5(x-y)]²
=(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(9y-x)
3a²b-1/3b³
=b/3×(9a²-b²)
=b/3×(3a+b)(3a-b)
=b(3a+b)(3a-b)/3
(5m²+3n²)²-(3m²+5n²)²
=(5m²+3n²+3m²+5n²)(5m²+3n²-3m²-5n²)
=8(m²+n²)×2(m²-n²)
=16(m+n)²(m+n)(m-n)

1.a²a-a²b+b²b-b²a=a³-a²b+b³-b²a