用平方差
(a+b)^2-(a-b)^2
=(a+b+a-b)(a+ba+b)
=2a*2b
=4ab
5076^2-4024^2
=(5076+4024)(5076-4024)
=9100*1052
=9100*(1000+50+2)
=9100000+455000+18200
=9573200
5076^2-4024^2
=(5076+4024)(5076-4024)
=9100×1052
=9100×(1000+50+2)
=9100000+455000+18200
=9573200
(4550+526)^2+(4550-526)^2
题目可以看成
(5000+76)^2-(5000-76)^2
由a^2-b^2=(a+b)(a-b)得
原式=(5000+76+5000-76)(5000+76-5000+76)=10000*152=1520000