已知x的2n次方=3,y的3m次方=2,求代数式2x的6n次方-(x的n次方)的平方乘y的m次方,乘x的2n次方乘
问题描述:
已知x的2n次方=3,y的3m次方=2,求代数式2x的6n次方-(x的n次方)的平方乘y的m次方,乘x的2n次方乘
(y的平方)的m次方-y的9m次方
答
x^2n=3y^3m=22x^6n-(x^n)^2*y^m*x^2n*(y^2)^m-y^9m=2*(x^2n)^3-x^2n*y^m*x^2n*y^2m-y^9m=2*(x^2n)^3-x^2n*x^2n*y^2m*y^m-y^9m=2*(x^2n)^3-x^2n*x^2n*y^3m-(y^3m)^3=2*3-3*3*2-2^3=6-18-8=-20