Question
A student says that the expansion of the expression 
has seven terms. Describe and correct
the error the student may have made ?
The correct answer is: Thus, we get 8 terms in the expansion. The student may have considered n=6 to get an expansion of 7 terms.
ANSWER:
Hint:
The expansion of the expression 
would have n+1 terms. The binomial expansion is 
, here .
We are asked to describe and correct the error the student has made while expanding and getting only seven terms.
Step 1 of 2:
The given expression is . Here, the values of 
. The value of n=7.
Step 2 of 2:
Substitute the values in the binomial expansion to get the terms:
Thus, we get 8 terms in the expansion. The student may have considered n=6 to get an expansion of 7 terms.
Note:
The answer can be found the Pascal’s triangle as well. The expansion of an expression has n+ 1 term.
Related Questions to study
Expand the expression 
.what is the sum of the coefficients?
Expand the expression .what is the sum of the coefficients?
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.
