Use algebraic manipulation to find the minimum product-of-sums expression for the function f = (x1 + x3 + x4) · (x1 + x2 + x3) · (x1 + x2 + x3 + x4).

the given expression in

(x+x^3+x^4).(x+x^2+x^3).(x+x^2+x^3+x^4)

on applying distributive property:(a+b).(x+y) = a*x+a*y+b*x+b*y

we get,

x^3 + 3x^4 + 4x^5 + 6x^6 + 7x^7 + 6x^8 + 5x^9 + 3x^10 + x^11

$12. that is my answer.

nothjing

step-by-step explanation: