The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

3a³ - 6a² - 2

Step-by-step explanation:

X²Y - Z

= a²(3a - 5) - (a² + 2) ← distribute both parenthesis

= 3a³ - 5a² - a² - 2 ← collect like terms

= 3a³ - 6a² - 2

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