(3a的平方减2a+1)(3a的平方+2a+1)= 什么

问题描述:

(3a的平方减2a+1)(3a的平方+2a+1)= 什么

=9a四次方 - (2a+1)²
=9a四次方-(4a²+4a+1)
=9a四次方-4a²-4a-1

(3a^2+1-2a)(3a^2+1+2a)
=(3a^2+1)^2 -4a^2
=9a^4+2a^2 +1

设3a²=x;2a+1=y
则:(3a²-2a+1)(3a²+2a+1)
=(x-y)(x+y)
=x²-y²
=(3a²)²-(2a+1)²
=9a的四次方-4a²-4a-1