An open-top box is formed by cutting squares out of an 11 inch by 17 inch piece of paper and then folding up the sides. The volume V(2) in cubic inches of this type of
open-top box is a function of the side length x in inches of the square cutouts and can
be given by V(x) = (17 – 2x)(11 – 2x)(x). Rewrite this equation by expanding the
polynomial.

Given:

The volume V(x) in cubic inches of this type of  open-top box is a function of the side length x in inches of the square cutouts and can be given by

To find:

The above equation by expanding the  polynomial.

Solution:

We have,

Using distributive property, we get

Combining likes terms, we get

Using distributive property, we get

Therefore, the required equation after expanding the  polynomial is .

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

the answer will be