因式分解2a(X²+1)²-2AX²

问题描述:

因式分解2a(X²+1)²-2AX²

a就是A?

原式=2a[(X²+1)²-X²]=2a(X²+1-x)(X²+1+x)

=2a[(x²+1)²-x²]
=2a(x²+x+1)(x²-x+1)