Binomial expansion...help me pls

By the binomial theorem,

The term occurs for i = 2, and the term for i = 3. If the coefficient of the squared term is 3 times larger than the coefficient of the cubed term, then

Solve for k :

Since k ≠ 0, it follows that

k - (n - 2) = 0

or

k = n - 2

as required.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

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step-by-step explanation: