Maths-
General
Easy
Question
Use Pascal triangle to expand the expression 
.
The correct answer is: Thus, the expansion is
ANSWER:
Hint:
Pascal's Triangle is a method to know the binomial coefficients of terms of binomial expression (x + y)n, where n can be any positive integer and x,y are real numbers. Pascal Triangle is represented in a triangular form, it is kind of a number pattern in the form of a triangular arrangement.
We are asked to find the expansion of the expression using Pascal’s triangle.
Step 1 of 2:
The given expression is . Here, the value of n=6. Thus, there would be 6+1=7 terms.
Hence, we should use the seventh row of the Pascal’s triangle to write the corresponding expansion.
Step 2 of 2:
Analyzing the figure, the expansion of the expression is:
Thus, the expansion is
Note:
The answer can be found using the binomial expansion of 
where 
.
Related Questions to study
Maths-
A Medium sized Shipping box with side length s units has a volume of 
cubic units.
a. A Large shipping box has side lengths that are 3 units longer than the medium shipping box. Write a binomial expression for the volume of the large shipping box .
b. Expand the polynomial in part A to simplify the volume of the large shipping box ?
A Medium sized Shipping box with side length s units has a volume of cubic units.
a. A Large shipping box has side lengths that are 3 units longer than the medium shipping box. Write a binomial expression for the volume of the large shipping box .
b. Expand the polynomial in part A to simplify the volume of the large shipping box ?
Maths-General
Maths-
Use Pascal’s triangle to expand the expression 
Use Pascal’s triangle to expand the expression
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Find the third term of the binomial expansion 
.
Find the third term of the binomial expansion .
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Find the fifth term of the binomial expansion 
.
Find the fifth term of the binomial expansion .
Maths-General
Maths-
Use polynomial identities to factor each polynomial :
Use polynomial identities to factor each polynomial :
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Use polynomial identities to factor each polynomial :
Use polynomial identities to factor each polynomial :
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Use polynomial identities to factor each polynomial :
Use polynomial identities to factor each polynomial :
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Use polynomial identities to multiply each expression 
.
Use polynomial identities to multiply each expression .
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
Maths-
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Maths-General
