因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4
4个回答

①(x+y)²-(3x-2y)²

=[(x+y)+(3x-2y)][(x+y)-(3x-2y)]

=(4x-y)(-2x+3y)

②9(2a+3b)²-25(3a-b)²

=[3(2a+3b)+5(3a-b)][3(2a+3b)-5(3a-b)]

=(21a+4b)(-9a+14b)

③a³+4a²b+4ab²

=a(a²+4ab+4b²)

=a(a+2b)²

如果不懂,请Hi我,祝学习愉快!