Use the binomial theorem and pascal’s triangle to write each binomial expansion. (x +4)2 in need asap ):

x² + 8x + 16

Step-by-step explanation:

You can draft the Pascal's Triangle as below;

                                             Exponent

                  10

               1     1  1

             1   2    1 2

            1  3   3   1 3

According to the question, we use values for exponent 2 because (a+b)²

Given  (x+4)²expand

x² × 4⁰ + x¹ × 4¹+ x⁰ × 4²

x² × 1 + x × 4 + 1 × 16

x² + 4x + 16introduce values in exponential 2 of the table which are 1  2  1

x² × 1 + 2 × 4x + 16 × 1

⇒ x² + 8x + 16

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

150

step-by-step explanation:

(sorry i'm not typing it again just read the other two explanation sections i just typed it'll be the same.)