化简求值[(2a+b)²-(b-a)(a+b)]÷2a其中a=2 b=-1/4

化简求值[(2a+b)²-(b-a)(a+b)]÷2a其中a=2 b=-1/4
化简求值[(2a+b)²-(b-a)(a+b)]÷2a其中a=2 b=-1/4

化简求值[(2a+b)²-(b-a)(a+b)]÷2a其中a=2 b=-1/4
[(2a+b)²-(b-a)(a+b)]÷2a
=[(2a+b)²-(b²-a²)]÷2a
=(4a²+4ab+b²-b²+a²)÷2a
=(5a+4b)÷2
=(5×2-4×1/4)÷2
=9/2