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

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐