①4a²-b²+3(2a-b) ②a²(x-y)+b²(y-x) ③ a³-2a²+a ④9m²n-3mn²因式分解题

①4a²-b²+3(2a-b) ②a²(x-y)+b²(y-x) ③ a³-2a²+a ④9m²n-3mn²因式分解题
①4a²-b²+3(2a-b) ②a²(x-y)+b²(y-x) ③ a³-2a²+a ④9m²n-3mn²
因式分解题

①4a²-b²+3(2a-b) ②a²(x-y)+b²(y-x) ③ a³-2a²+a ④9m²n-3mn²因式分解题
4a²-b²+3(2a-b)
=(2a+b)(2a-b)+3(2a-b)
=(2a-b)(2a+b+3)
a²(x-y)+b²(y-x)
=a²(x-y)-b²(x-y)
=(x-y)(a²-b²)
=(x-y)(a+b)(a-b)
a³-2a²+a
=a(a²-2a+1)
=a(a-1)²
9m²n-3mn²=3mn(3m-n)

①4a²-b²+3(2a-b)
=(2a+b)(2a-b)+3(2a-b)
=(2a-b)(2a+b+3)


②a²(x-y)+b²(y-x)
=a²(x-y)-b²(x-y)
=(x-y)(a²-b²)
=(x-y)(a+b)(a-b)

③ a³-2a²+a
=a(a²-2a+1)
=a(a-1)²

④9m²n-3mn²
=3mn(3m-n)