Question
Expand the expression 
.what is the sum of the coefficients?
The correct answer is: = 16
ANSWER:
Hint:
The binomial expansion is 
, here 
.
We are asked to expand the expression and find the sum of the coefficients.
Step 1 of 3:
The given expression is . 
. The value of n=4. Thus, there are 4+1=5 terms in the expansion.
Step 2 of 3:
Substitute the values in the expansion to get its terms. Thus, we have:
Thus, the expansion is 
Step 3 of 3:
To find the sum of the coefficients are :
Note:
The answer can be also found using the Pascal’s triangle. For an expression , we would consider the (n+1)th row.
Related Questions to study
Use Pascal’s triangle and the binomial theorem to expand 
. Justify your work.
Use Pascal’s triangle and the binomial theorem to expand . Justify your work.
Emma factored 
Describe and correct the error Emma made in factoring the polynomial.
A polynomial is factored when expressed as the product of more than one factor; this is somewhat the opposite of multiplying. The following properties or identities, along with other methods, are typically used to factor polynomials.
¶A number is quickly factorized into smaller digits or factors of the number using the factorization formula. Finding the zeros of the polynomial expression or the values of the variables in the given expression are both made possible by factoring polynomials.
¶There are many ways to factorize a polynomial of the form axn + bxn - 1 + cxn - 2+ ........., px + q, including grouping, using identities, and substituting.
Emma factored Describe and correct the error Emma made in factoring the polynomial.
A polynomial is factored when expressed as the product of more than one factor; this is somewhat the opposite of multiplying. The following properties or identities, along with other methods, are typically used to factor polynomials.
¶A number is quickly factorized into smaller digits or factors of the number using the factorization formula. Finding the zeros of the polynomial expression or the values of the variables in the given expression are both made possible by factoring polynomials.
¶There are many ways to factorize a polynomial of the form axn + bxn - 1 + cxn - 2+ ........., px + q, including grouping, using identities, and substituting.
using binomial theorem.
where 
a coefficient of row k of Pascal’s triangle is, p is the probability of success, and q is the probability of failure.
. The Identity 
can be used to generate Pythagorean triples. Use the identity to generate a Pythagorean triple when x = 5 and y = 4
.
.
cubic units.
.
