计算(A+2/A^2-2A-A-1/A^2-4A+4)*A-2/A÷4-A/A^2
问题描述:
计算(A+2/A^2-2A-A-1/A^2-4A+4)*A-2/A÷4-A/A^2
答
【(A + 2)/ (A ² - 2 A)- (A - 1)/ (A ² - 4 A + 4)】 × (A - 2)/ A ÷ (4 - A)/ A ²
= 【(A + 2)/ A(A - 2)- (A - 1)/ (A - 2)² 】× (A - 2)/ A × A ² / (4 - A)
= 【(A + 2)(A - 2)/ A(A - 2)² - A(A - 1)/ A(A - 2)² 】 × A(A - 2)/ (4 - A)
= (A ² - 4 - A ² + 1)/ A(A - 2)² × A(A - 2)/ (4 - A)
= - 3 /(A - 2)(4 - A)
= 3 /(A - 2)(A - 4)
= 3 /(A ² - 6 A + 8)