若3^x=4,3^y=5,求3^4x+2y+1-(3^x+2y)^2的值

问题描述:

若3^x=4,3^y=5,求3^4x+2y+1-(3^x+2y)^2的值

3^x=4,3^y=5
则3^x*3^y*3^y=4*5*5
所以3^x+2y=100
3^4x+2y+1-(3^x+2y)^2
=(3^x)^4*(3^y)^2*3-100²
=4^4*5²*3-10000
=19200-10000
=9200