Write an expression for the coefficient of x^997 in (x+1)^1008. Find its value.

1 answer

It is Binomial(1008,997)=

1008*1007*1006*...*998/(11*10*9*...*2)

Then simplify the fraction.

Similar Questions

1a)write down and simplify all the terms of thebinomial expansion (1-x)6. (b) use your expansion to evaluate 0.997^6 correct to

Top answer: expand the binomial. then, put .003 in for x. You wont have to go past the x^3 term... binomial Read more.
The height of a building is 1008 ft tall, and is represented on a model as 8 in tall. What is the ratio of the height of the

Top answer: The correct ratio of the height of the model to the actual height of the building is 8:1008. Read more.
Find the remainder when 3^997is divided by 5. n=1 3n/5=3/5 n=2 3^2=9/25 n=3 3^3=27/5 n=4 3^4=81/5 n=5 3^5=243/5

Top answer: Note that the last digit of 3^n repeats: 3,9,7,1,... 3^997 = 3^996*3, so it ends in 3 so, ... Read more.
The height of a building is 1008 ft tall, and is represented on a model as 8 in tall. What is the ratio of the height of the

Top answer: The ratio of the height of the model to the actual height of the building is 8:1008. Read more.
7. In the expression –7x – 5x2 + 5, what is the coefficient of x?7 5 –5 –7 8. Write the expression using a single

Top answer: Your #7. is wrong No. 9 could also be 1*10^8, but it should have two significant figures, as your Read more.
a small mountain near tectonic plate line andes has been growing consistently in height each year. the first measured height was

Top answer: To determine the regression equation for the given data, we will use a linear regression model. This Read more.
he directions to a problem state that you are to factor the algebraic expression. What is your first step? (1 point) Responses

Top answer: Determine if there is a greatest common factor among all the terms. Read more.
Answer the following give the expression. 7x^6-5x^4+x^3-2x^2-9x+6How many terms are in the expression? What is the degree of the

Top answer: Number of terms: 6 Degree of the expression: 6 Leading coefficient: 7 Coefficient of the x^3 term: 1 Read more.
use properties of logarithms to condense the loarithmic expression. write expression as a sinle logarithm whose coefficient is

Top answer: 1/8[3 In(x+5)-In x-In(x^2-4)] = (1/8) [ ln (x+5)^3 - lnx - ln (x^2-4) ] = (1/8) ln ( (x+5)^3 / Read more.
Answer each of the following questions based on the expression 3x^6+7x^4+8x^2+x+9.How many terms are in the expression? What is

Top answer: There are five terms in the expression. The degree of the expression is 6. The leading coefficient Read more.