Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.
which product should tomas choose?

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

Step-by-step explanation:

(a + b) (a^2 - ab + b^2) when a = 2x and b =1

(2x + 1) (4x^2 - 2x(1) + 1^2) or (2x + 1) (4x^2 - 2x + 1)

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet