(4x² – y)"; term that contains x1º

Q: In the expansion of 5x + the value of the constant term is

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Q: Find the first three terms of the expansion (4 – 2x)³.

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Q: Expand the expression using the Binomial Theorem: (4x – 1)° = x' + x² + x' +

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

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Q: Write the binomial expansion for (x +2y). (x+2y)® -

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Q: Use the binomial theorem to expand and simplify.(x - y)7

A: we have to use the binomial theorem to expand and simplify (x - y)7

Q: Expand with binomial formula (a-x)5

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Q: In the expansion of (3x + 2y) °, the term 90, 72028 yl2 is the 4th term 5th term O 7th term O 6th…

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Q: Use the binomial theorem to expand and simplify.

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Q: The constant term in the expansion of the expression 4x is given by 15

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Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: Find the term containing x18 in the binomial expansion of (x³ – y)15,

A: Find the term containing x18 in the binomial expansion of x3-y15. Formula: Binomial expansion of…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: We have given expression 3x2-y310 Then, fourth term of the expression…

Q: Find the constant term in the expansion of (2x4 +4/x)20

A: The expansion of the given subject can be obtained by the binomial theorem, as follows,(a + b)n=∑r…

Q: Find the coefficient of x4 in the expansion of (2-3x)6

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Q: Find the middle term in the expansion of (2/x + x/2)^14

A: The middle term in the binmial  expansion of (x+a)^n is (( n/2)+1)th term, if n is even . If nis…

Q: Write the fourth term of the expansion of (2x+ 3y)°.

A: We can get desired result by two ways. One is by opening binomial expansion then getting fourth…

Q: Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.

A: The given expression is x2+y25 To find the term containing x4 as the factor

Q: Find the term that contains x^8 in the expansion of (3x-1)^11

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Q: Use the binomial theorem to expand and simplify the expression.(2x + y3)4

A: Simplify the expression: 2x+y34.   Apply Binomial theorem: a+bn=∑r=0nCrnan−rbr. Therefore,…

Q: Use the binomial theorem to expand and simplify.(x - y)5

A: Binomial theorem is used to find the algebraic expansion of powers of a binomial. It is used to…

Q: Use the Binomial Theorem to expand and simplify (7x + 4)4 4 6 4 1 coefficients:

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Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: Find the coefficient of x7 in the expansion of (x + 2)9

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Q: Write the first 3 terms of the expansion of (3x - ) – 2)" and simplify |

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Q: Use the binomial theorem to expand and simplify.

A: Formula for binomial expansion - a+bn = nC0anb0 + nC1an-1b1 + nC2an-2b2 + nC3an-3b3 +…

Q: Use the binomial theorem to expand and simplify (2x² – 4x + 7)°.

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Q: Write the first four terms in the expansion of (4 + 2x)-*.

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

Q: Which term in the expansion of 2x is a constant?

A: 12x3-x58

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

Q: Find the 3rd term in the expansion of (5x 2)4 in simplest form.

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Q: Find the 6th term in the expansion of (a + b)^7 in simplest form.

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Q: Use the binomial theorem to expand and simplify (x+y)6 Show each step.

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Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

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Q: Use the binomial expansion formula to expand (x + 1 )9 .

A: x+19 Binomial theorem is, a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+----+Cnnbn

Q: Find the Term that includes x? of the expansion (x³ +°

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Q: What is the fourth term in the expansion of ( 2x 10 ? -

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Q: Find the constant term in the expansion of (2x + 1/x^3)^8

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Q: Find the Term that includes x² of the expansion (x³ +

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Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The (r+1)th term of the expression (a+b)n is given by Crnan-rbr. Here C represents the combination.…

Q: Find the middle term in the expansion of (3x + x/3)10.

A: Given power is 10. So the number of terms= 10+1=11   This means the 11+12=6th term will be the…

Q: Show all your steps. Find the coefficient of the term in the expansion of (3x – 4y)°.

A: The given expression is 3x-4y8. We have to find the co-efficient of x6y2. The binomial expansion is…

Q: Use the binomial theorem to expand and simplify.

A: Given:           x+1x5 Apply binomial Theorem: a+bn=∑i=0nnian-ibi a=x,    b=1x =∑i=055ix 5-i1xi…

Q: Which term in the expansion of 1 3 2x I is a constant?

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Q: Find the 7th _term in the expansion of : 5 2x 4x

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: To get the term that contains y9, use the binomial expansion and obtain the second term.…