Nina built the following pattern: Which equation represents the relationship between the pattern number
and the number of trapezoids

?

t= n*n

Step-by-step explanation:

n represents the pattern number.

t represents the number of tiles.

let's use pattern #3 for n.

t=3*3      replace n with the tile number

t= 9        tile number is 9?

correct.

plug in 1 and/or 2 for n if you would like to check your work.

t=1*1

t=1

correct.

t=2*2

t=4

correct.

Formula t=n*n is solution.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form