Consider the polynomial identity: (x+y) ^3 = x^3 +3x^2y + 3xy^2 +y ^3

(a) prove this identity by expanding the left - hand side of the equation.

(b) use your calculator to find the value of 11^3 then use the identity to show the same result. Carefully consider your choice of a and b

Step-by-step explanation:

Polynomial identity:

(A) Expanding above identity by LHS:

Hence , proved.

(B) Value of ,  . Finding the same with help of equation:

Hence , Both produce same result.

∈3,600

step-by-step explanation:

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.