计算(^2-2x+5)^2-2(^2-2x+5)(x^2-2x-3)+(x^2-2x-3)^2=[( )-( )]^2=?

问题描述:

计算(^2-2x+5)^2-2(^2-2x+5)(x^2-2x-3)+(x^2-2x-3)^2=[( )-( )]^2=?

(x^2-2x+5)^2-2(x^2-2x+5)(x^2-2x-3)+(x^2-2x-3)^2
=[(x^2-2x+5 )-( x^2-2x-3)]^2
=(5+3)²
=64