已知x+y=5,xy=6,求x²y+xy²的值

已知x+y=5,xy=6,求x²y+xy²的值
已知x+y=5,xy=6,求x²y+xy²的值

已知x+y=5,xy=6,求x²y+xy²的值
x^2y+xy^2
=xy(y+x)
=6*5
=30

x²y+xy²
=xy(x+y)
=5×6
=30

把X*2Y+XY*2提取公因式=XY(X+Y)代入xy=5,x+y=6得5*6=30