Pascal's Triangle: Binomial Expansion
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Last updated over 4 years ago
13 questions
5
Complete the cells of Pascal's Triangle
Complete the cells of Pascal's Triangle
2
Write out the complete term and include your calculations for determining the coefficient for:
5th term in the expansion of (a + b)5
Write out the complete term and include your calculations for determining the coefficient for:
5th term in the expansion of (a + b)5
2
Write out the complete term and include your calculations for determining the coefficient for:
6th term in the expansion of (c + d)8
Write out the complete term and include your calculations for determining the coefficient for:
6th term in the expansion of (c + d)8
2
Write out the complete term and include your calculations for determining the coefficient for:
2nd term in the expansion of (e + f)5
Write out the complete term and include your calculations for determining the coefficient for:
2nd term in the expansion of (e + f)5
2
Write out the complete term and include your calculations for determining the coefficient for:
1st term in the expansion of (g + h)5
Write out the complete term and include your calculations for determining the coefficient for:
1st term in the expansion of (g + h)5
2
Write out the complete term and include your calculations for determining the coefficient for:
5th term in the expansion of (j + k)9
Write out the complete term and include your calculations for determining the coefficient for:
5th term in the expansion of (j + k)9
2
Write out the complete term and include your calculations for determining the coefficient for:
3rd term in the expansion of (m + n)4
Write out the complete term and include your calculations for determining the coefficient for:
3rd term in the expansion of (m + n)4
3
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(a + b)4 =
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(a + b)4 =
3
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(c + d)7 =
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(c + d)7 =
3
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(e + f)5 =
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(e + f)5 =
3
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(g + h)6 =
Expand completely. HINT: Use the completed Pascal's Triangle above to help you.
(g + h)6 =
2
What is the coefficient of the term a5b3 in (a + b)8? Include work/explanation for how you arrived at your answer.
What is the coefficient of the term a5b3 in (a + b)8? Include work/explanation for how you arrived at your answer.
2
What is the coefficient of the term a4b6 in (a + b)10? Include work/explanation for how you arrived at your answer.
What is the coefficient of the term a4b6 in (a + b)10? Include work/explanation for how you arrived at your answer.