计算2X的平方+8X+8分之X的平方+2X+1除以(X+1)乘以X+1分之X+2

问题描述:

计算2X的平方+8X+8分之X的平方+2X+1除以(X+1)乘以X+1分之X+2

(X^2+2X+1)/(2X^2+8X+8) ÷ (X+1) × (X+2)/(X+1)
= (X+1)^2 /[2(X+2)^2] ×1/ (X+1) × (X+2)/(X+1)
= 1 /[2(X+2)]

2X的平方+8X+8分之X的平方+2X+1除以(X+1)乘以X+1分之X+2=(x^2+2x+1)/(2x^2+8x+8) *1/(x+1)* (x+2)/(x+1)=(x+1)^2/2(x^2+4x+4) * (x+2)/(x+1)^2=(x+1)^2/2(x+2)^2 * (x+2)/(x+1)^2=1/2(x+2)