Question

用完全平方公式解答

51²+49²

Answer 1

解答：
做法一：
51^2+49^2=(51+49)^2-2*51*49=10000-2*(50+1)(50-1)
=10000-2*(50^2-1)=10000-5000+2=5002
做法二：
51^2+49^2=(50+1)^2+(50-1)^2=50^2+2*50+1=50^2-2*50=1=5002

Answer 2

51²+49²=(50+1)²+(50-1)²=50²+100+1+50²-100+1=5000+2=5002

Answer 3

51²+49² = (51+49)² -2 x 51 x 49=100² -4998=5002