Maths-
General
Easy
Question
Use the binomial theorem to expand the expressions:
The correct answer is: (3x - 0.2)^3 = 27x^3 - 5.4x^2 + 0.36x - 0.008
ANSWER:
Hint:
The binomial expansion is
,
We are asked to find the expansion of using Binomial theorem.
Step 1 of 2:
The given expression is. Here , the value of n = 3 so the number of terms are 3+1 = 4.
The values are 
Step 2 of 2:
Substitute the values in the binomial equation to get the expansion;
Thus, the expansion is 
Note:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x+y)n , we would consider the (n+1)th row in the triangle.
Related Questions to study
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
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
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
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 : 
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to factor each polynomial :
Maths-General
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Maths-
Use polynomial identities to factor each polynomial :
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to factor each polynomial :
Maths-General
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
