Final answer:
To solve the expression (x+1)(x+2)(x+3), you need to use the distributive property to expand it. The expanded form is x^3 + 6x^2 + 11x + 6.
Step-by-step explanation:
To solve the expression (x+1)(x+2)(x+3), we can use the distributive property to expand it.
Multiply x+1 and x+2: (x+1)(x+2) = x(x+2) + 1(x+2)
= x^2 + 2x + x + 2
= x^2 + 3x + 2.
Multiply the result from step 1 by x+3: (x^2 + 3x + 2)(x+3) = x^2(x+3) + 3x(x+3) + 2(x+3)
= x^3 + 3x^2 + 2x + 3x^2 + 9x + 6
= x^3 + 6x^2 + 11x + 6.
Therefore, the expanded form of (x+1)(x+2)(x+3) is x^3 + 6x^2 + 11x + 6.