若n为正整数,且x^2n=7,求(3×x^3n)^2-13(x^2)^2的值

问题描述:

若n为正整数,且x^2n=7,求(3×x^3n)^2-13(x^2)^2的值

=3^2*(x^2n)^3-13(x^2)^n=9*343-13*7=2996

(3×x^3n)^2-13(x^2n)^2
=9(x^2n)³-13(x^2n)²
=9×7³-13×7²
=7²×(63-13)
=49×50
=2450