已知2的10次方=a²=4的b次方,化简(a/4+b/5)(a/4-b/5)-(a/4+b/5)²,并求值
问题描述:
已知2的10次方=a²=4的b次方,化简(a/4+b/5)(a/4-b/5)-(a/4+b/5)²,并求值
答
2的10次方=a²=4的b次方,a=2的5次方=32,b=5.
(a/4+b/5)(a/4-b/5)-(a/4+b/5)²=(8+1)(8-1)-(8+1)²=63-81=-18