Reduce (x+1)^3(x-2)+3(x+1)^2/(x+1)^4 to the lowest terms.

Question

Please help. I'm struggling.

Answer 1

Divide the numerator and denominator by (x+1)² to get:

[(x+1)(x-2) + 3] / (x+1)²

= (x² - x + 1) / (x+1)²