(1+a)ⁿ展开式为:(1+a)ⁿ=C(n,0)+C(n,1)a+C(n,2)a²+……+C(n,n-1)aⁿ⁻¹+C(n,n)aⁿ其m次项(aᵐ)系数为:C(n,m)(n取m的组合)则:(1+x)⁸的2次项(x²)系数为:C(8,2)=8×7÷2=28(1+y)⁴的2次项(y²)系数为:C(4,2)=4×3÷2=6所以:(1+x)⁸(1+y)⁴展开式中,x²y²的系数为:28×6=168