Find the square. Simplify your answer.
(2t - 4)

t^2 -4t + 4

Step-by-step explanation:

(2t-4)(2t-4) Use the FOIL Method (first, outside, inside, last)

2t*2t =4t^2 First

2t*-4 = -8t Outside

-4*2t = -8t Inside

-4*-4 = 16 Last

4t^2 -8t -8t + 16 (simplify/add like terms)

(4t^2 -16t + 16)/4 (you can further simplify by dividing each value by 4)

t^2 -4t + 4

Hello!

6 girls and 2 boys are to be seated in a row, with 4 girls seated btwn the 2 boys.

Now let us number 8 seats, starting from the left as follows:

S1, S2, S3, S4, S5, S6, S7, S8

Now the following cases arise regarding the seating arrangement of the boys -

B1 seated on S1 and B2 seated on S6 ( leaving S 2,3,4 & 5)

Now in the remaining 6 seats, 6 girls can be arranged in 6! ways = 720 ways.

On interchanging B1 and B2′s place, we get 720 more arrangement

Therefore, current total = 1440 ways

2. B1 - S2 and B2 - S7

1440 more arrangements can be formed as in previous case.

3. B1 - S3 and B2 - S8

1440 more arrangements can be formed as in previous case.

Therefore total ways to arrange the seating plan are 1440 × 3 = 4320 ways

Hope This helped you! :D