(7.88+6.77+5.66)×(9.31+10.98+10)-(7.88+6.77+5.66+10)×(9.31+10.98)=_.
问题描述:
(7.88+6.77+5.66)×(9.31+10.98+10)-(7.88+6.77+5.66+10)×(9.31+10.98)=______.
答
设9.31+10.98=a,7.88+6.77+5.66=b,则:(7.88+6.77+5.66)×(9.31+10.98+10)-(7.88+6.77+5.66+10)×(9.31+10.98),=b×(a+10)-(b+10)×a,=ab+10b-ab-10a,=10×(b-a),=10×[7.88+6.77+5.66-(9.31+1...