Question
Use the binomial theorem to expand the expressions:
The correct answer is: The required expansion is (d-3)^4=d^4-12d^3+54d^2-108d+81
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 = 4, so we would have 4+1 = 5 terms in the expansion. The value of 
Step 2 of 2:
Substitute the values in the binomial equation and hence find the expansion;
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
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Use the binomial theorem to expand the expressions:
Use polynomial identities to multiply each expression .
Use polynomial identities to multiply each expression .
Use the binomial theorem to expand the expressions:
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Use polynomial identities to factor each polynomial : 
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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 : 
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions
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Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions
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Any expression of the form (a + b)2 can be expanded using the identity 
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Use polynomial identities to multiply each expression
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Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Dakota said the third term of the expansions of 
is .Explain Dakota’s error and then correct the answer.
Dakota said the third term of the expansions of is .Explain Dakota’s error and then correct the answer.
Use polynomial identities to multiply each expression .
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply each expression .
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
? Explain.
