Question
Use binomial theorem to expand (x - 1)7
Hint:
The binomial expansion is , here n ≥ 0 . We are asked to use binomial theorem to expand (x - 1)7 .
The correct answer is: (x + y)n
Step 1 of 2:
The given expression is (x - 1)7 , here x = x & y = -1 . The value of n=7, hence there are 7+1=8 terms in the expressions.
Step 2 of 2:
Substitute the values of (x - 1)7 in the binomial equation to get the expansion:
Thus, the expansion is:
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
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Use polynomial identities to factor the polynomials or simplify the expressions :
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How is obtained from
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Use Pascal triangle to expand (x + y)6
The expansion of the polynomial (x + y)6 can be found using the values of 6Cr
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The answer cam also be found by expanding the formula of 5Cr .
Use Pascal triangle to expand
The answer cam also be found by expanding the formula of 5Cr .