(y^2+y)(x^4+3x^3-2x^3)=y^2(x^4+3x^3 -2x^3)+y(x^4+3x^3-2x^3( is an example of:

a. vertical multiplication

b. the distributive property

c. foil

d. multiplying 2 binomials

B. Distributive property

Step-by-step explanation:

The distributive property says

You are given the expression

Denote

then your expression is

Here, you can see that distributive property was used.

Now, change c into the again

to get the distributive property for the initial expression

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

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5