What is the 4th term of the expansion of (1 - 2x)" if the binomial coefficients are taken from the row of Pascal's triangle shown below? 1 6 15 20 15 6 1 -160z 160z 20z 240z

Q: 7. Use Pascal's Triangle to expand the binomial (2x + 2)¹. O 16x¹64x³ +96x² - 64x + 16 - 16x4 + 64x³…

A: To expand using the Pascal triangle.

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating…

A: We will find the 8th term.

Q: 17. Expand using Pascal's Triangle or the Binomial Theorem. Be sure to show the setup. Then,…

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Q: Please show all work and please only use Pascal's Triangle and Binomial Theorem for this problems…

A: Explanation of the answer is as follows

Q: What are the first and last terms in the expansion of (5x + 4y)*?

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Q: Expand 3x + 2y)7 using the binomial theorem. Simplify your final result.

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Q: Value of the 7th term in (2x + y)"?

A: Follow the procedure given below.

Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (x- 2)* a. x*-8x3 + 32x + 16…

A: Binomial expansion formula (a+b)n=C0nan+C1nan-1b+C2nan-2b2.......................Cnnbn

Q: Expand (3y+1)* using Pascal's triangle. 9. Which of the following shows the correct expression to…

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Q: Use Pascal's triangle to expand (2x+3)6 Use Pascal's triangle to find the first three terms only of…

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Q: 9. (a) Using Pascal's triangle, expand and simplify (1 + 2)- (1-2.r)". (b) Using the binomial…

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Q: Write out the full expansion of (x + y)^7 using either binomial coefficients or Pascal’s Triangle to…

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Q: 8. (a) How many integers from 1 through 1000 are multiples of 11 ? (b) How many integers from 1…

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Q: Write the expansion of each expression using sigma notation. 19 " (-5m - 7n) Я 19 (-Sm)'(-7n) 19-7…

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Q: Use Pascal's Triangle to expand the binomial (x + 1)° O 25 + 5x4 + 10x + 10x2 + 5x + 1 O g5 - 5x1-…

A: Pascal's triangle…

Q: find the term of the binomial expansion with pascals triangle( if possible): third term of (a-3)^6 .…

A: The given expression is

Q: Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which…

A: Amani is trying to find the value of the 4th coefficient in the 10th row of pascal's Triangle. The…

Q: The sum of two binomials is (9-5i) if the first binomial is (-3-2i) what is the other binomial

A: Complex analysis problem....

Q: What is the coefficient of ?^11?^13 in the expansion (−3?+4?)^24.

A: It is asked to find coefficient of x11.y13 in the expansion of (-3x+4y)24.

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: and COMI jc janod adject STROSEd HD mol Kane jo sangen and jeung and danig

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Q: 3x2 Q1/ A/ Expand with binomial formula: (1- * Q1/B/ Find the value of G? -15 3- 36 = [4 -6 4 -13 -4…

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Q: if (n+5)! = 56 (n+ 3)!, then (n+ 4)! = 5040 true O false

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Q: Row 0 1 23 2 3 4 5678 8 Pascal's Triangle 1 1 1 1 2 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 16 15 20 15 6 1…

A: Binomial expansion

Q: how many six-digit numbers can be formed so that 2 are in the place of thousandth and 5 in the place…

A: First number can not be 0. So we can pick the first number in 9 ways. (1 to 9)

Q: What is the value of the coefficient of the 4th term in the expansion of (a + b)¹2?

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Q: fully expand (3x + 2)5 with Pascal's Triangle?

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Q: 4. The binomial 8x+6 is equivalent to (1) 4(2x+6) (3)) 2 (4x+3) (4) 4(2x+2) (2) 6 (8x+1)

A: Here we need to find that which binomial is equivalent to 8x+6? Now, let us check to the given…