Maths-
General
Easy
Question
Expand
using binomial theorem.
The correct answer is: Thus, the expansion is:
ANSWER:
Hint:
The binomial expansion is
, here
.
We are asked to find the binomial expansion of
using binomial theorem.
Step 1 of 2:
The given expression is .
. The value of n=3. Thus, the number of terms would be n+1=3+1=4.
Step 2 of 2:
Substitute the values in the expression to get the terms of the binomial expansion;



Thus, the expansion is:
Note:
The answer can be found using the Pascal’s triangle. For
, we would consider the (n+1) th row as the coefficients.
Related Questions to study
Maths-
If an event has a probability of success p and a probability of failure q , then each term inthe expansion of(p+q)n represents a probability. For example , if a basketball player makes 60% of his free throw attempts , p= 0.6 and q= 0.4. To find the probability the basketball player will make exactly h out of k free throws, find
where
a coefficient of row k of Pascal’s triangle is, p is the probability of success, and q is the probability of failure.
If an event has a probability of success p and a probability of failure q , then each term inthe expansion of(p+q)n represents a probability. For example , if a basketball player makes 60% of his free throw attempts , p= 0.6 and q= 0.4. To find the probability the basketball player will make exactly h out of k free throws, find
where
a coefficient of row k of Pascal’s triangle is, p is the probability of success, and q is the probability of failure.
Maths-General
Maths-
Expand
using Pascal’s triangle.
Expand
using Pascal’s triangle.
Maths-General
Maths-
How many terms are there in the expansion of 
How many terms are there in the expansion of 
Maths-General
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A Pythagorean triple is a set of three positive integers a, b and c that satisfy
. The Identity
can be used to generate Pythagorean triples. Use the identity to generate a Pythagorean triple when x = 5 and y = 4
A Pythagorean triple is a set of three positive integers a, b and c that satisfy
. The Identity
can be used to generate Pythagorean triples. Use the identity to generate a Pythagorean triple when x = 5 and y = 4
Maths-General
Maths-
Use binomial theorem to expand expression
.
Use binomial theorem to expand expression
.
Maths-General
Maths-
Use binomial theorem to expand expression 
Use binomial theorem to expand expression 
Maths-General
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The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .

The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .

Maths-General
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Use Pascal triangle to expand the expression
.
Use Pascal triangle to expand the expression
.
Maths-General
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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
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Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

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Find the third term of the binomial expansion
.
Find the third term of the binomial expansion
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Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
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Find the fifth term of the binomial expansion
.
Find the fifth term of the binomial expansion
.
Maths-General
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Use polynomial identities to factor each polynomial :

Use polynomial identities to factor each polynomial :

Maths-General