Simplifying the expression:
(x+1)(x+7) - (x+2)(x+3)= x^2 + 7x + x + 7 - (x^2 + 3x + 2x + 6)= x^2 + 8x + 7 - x^2 - 5x - 6= 3x + 1
Therefore, (x+1)(x+7) - (x+2)(x+3) simplifies to 3x + 1.
Simplifying the expression:
(x+1)(x+7) - (x+2)(x+3)
= x^2 + 7x + x + 7 - (x^2 + 3x + 2x + 6)
= x^2 + 8x + 7 - x^2 - 5x - 6
= 3x + 1
Therefore, (x+1)(x+7) - (x+2)(x+3) simplifies to 3x + 1.