平方差公式
1个回答

^表示乘方

原式=2×1/2×(1+1/2)(1+1/2²)(1+1/2^4)(1+2^8)+1/2^15

=2×(1-1/2)(1+1/2)(1+1/2²)(1+1/2^4)(1+2^8)+1/2^15

=2×(1-1/2²)(1+1/2²)(1+2^4)(1+1/2^8)+1/2^15

=2×(1-1/2^4)(1+1/2^4)(1+1/2^8)+1/2^15

=2×(1-1/2^8)(1+1/2^8)+1/2^15

=2×(1-1/2^16)+1/2^15

=2×1-2×1/2^16+1/2^15

=2-1/2^15+1/2^15

=2