Question

$(x-1)(x+2)(x+4)$

Explanation:

Step1: Multiply first two binomials

$(x-1)(x+2) = x^2 + 2x - x - 2 = x^2 + x - 2$

Step2: Multiply result by third binomial

$(x^2 + x - 2)(x+4) = x^2(x+4) + x(x+4) - 2(x+4)$

Step3: Expand each term

$= x^3 + 4x^2 + x^2 + 4x - 2x - 8$

Step4: Combine like terms

$= x^3 + (4x^2+x^2) + (4x-2x) - 8 = x^3 + 5x^2 + 2x - 8$

Answer:

$x^3 + 5x^2 + 2x - 8$