计算16-a²/a²+8a+16÷a-4/2a+8×a-2/a+2
问题描述:
计算16-a²/a²+8a+16÷a-4/2a+8×a-2/a+2
答
(16-a²)/(a²+8a+16) ÷ (a-4)/(2a+8) × (a-2)/(a+2)
= -(a²-16)/(a²+8a+16) × (2a+8)/(a-4) × (a-2)/(a+2)
= -(a+4)(a-4)/(a+4)² × 2(a+4)/(a-4) × (a-2)/(a+2)
= - 2 (a-2)/(a+2)