what is the binomial theorem for

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# what is the binomial theorem for

what is the binomial throem for (sqare root of x  + 1) ^6

## Research, Knowledge and Information :

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### Binomial theorem - Wikipedia

The binomial theorem can be stated by saying that the polynomial sequence { 1, ...
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### Binomial Theorem - Math is Fun - Maths Resources

Binomial Theorem. A binomial is a polynomial with two terms. example of a binomial: ... That pattern is summed up by the Binomial Theorem: The Binomial Theorem.
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### The Binomial Theorem: Formulas - Purplemath | Home

I could never remember the formula for the Binomial Theorem, so instead, I just learned how it worked. I noticed that the powers on each term in the ...
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### Intro to the Binomial Theorem (video) | Khan Academy

Sal explains what's the binomial theorem, ... Binomial theorem, it tells us that if we have a binomial, and I'll just stick with the a plus b for now, ...
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### Binomial Theorem -- from Wolfram MathWorld

... and the identity itself is sometimes simply called the "binomial series" rather than "binomial theorem." ... of the binomial theorem is the binomial series ...
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### What is the Binomial Theorem? - Quora

What is the Binomial Theorem? Update Cancel. Promoted by Heap. ... We use the binomial theorem to help us expand binomials to any given power without direct ...
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### Binomial theorem - Topics in precalculus

THE BINOMIAL THEOREM. Formal statement of the theorem. Pascal's triangle. ... is the symbol for the binomial coefficient. The binomial theorem is the statement that = ?
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### What is the binomial theorem? + Example - Socratic.org

What is the binomial theorem? Algebra. ... There is a simpler way of expanding a binomial that uses the binomial theorem but takes a more intuitive approach.
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### What is the binomial theorem? | Socratic

Binomial theorem is a kind of formula that helps us to expand binomials raised to the power of any number using the pascals triangle or ... What is the binomial theorem?
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### 7.5 - The Binomial Theorem - Faculty & Staff Webpages

7.5 - The Binomial Theorem ... but here is a brief summary to get you going with the Binomial Expansion Theorem. A combination is an arrangement of objects, ...
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## Suggested Questions And Answer :

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### How do you use the binomial theorem to expand (2x+3y)^3

( 2x + 3y )^3 Solution : ( 2x + 3y )^2 = 4x^2 + 12xy + 9y^2 So, ( 4x^2 + 12xy + 9y^2 ) ( 2x + 3y ) = 8x^3 + 12x^2y + 24x^2y + 36xy^2 + 18xy^2 + 27y^3 =  8x^3 + 36x^2y + 54xy^2 + 27y^3 Thus, answer is 8x^3 + 36x^2y + 54xy^2 + 27y^3 .
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### prof by binomial theorem

(a-b)^n=a^n-nba^(n-1)+n(n-1)b^2a^(n-2)-... which can also be written a^n*nC0-ba^(n-1)*nC1+b^2a^(n-2)*nC2-..., where the mathematical symbol for combination of r distinct items out of n, nCr=C (n،r). If a=b=1 and n=100 we have (1-1)^100=0=100C0-100C1+100C2-100C3+...-100C99+100C100. Therefore,
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### The pythagorean theorem of this problem x^2+(2x+6)^2=(2x+4)^2

Pythagoras' theorem relates the lengths of the sides of a right-angled triangle: a^2+b^2=c^2 where c, the hypotenuse, is the longest side. In your question 2x+6 is the longest side, so there could be no solution, since the the sum of the two squares of the sides on the left-hand side must be bi
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### If (x^2-5y)^3 is written in expanded form, what is the coefficient of x^2y^2 term?

I just answerd that for you. I said: A binomial is a polynomial with two terms. We're going to look at the Binomial Expansion Theorem, a shortcut method of raising a binomial to a power. (x+y)0 = 1  (x+y)1 = x + y  (x+y)2 = x2 + 2xy + y2  (x+y)3&nb
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### what is the binomial theorem for

calculate the mean of binomial distribution for n=8,p=0..6
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### If (^2-5y)^3 is written in expanded form, what is the coefficient of x^2y^2 term?

A binomial is a polynomial with two terms. We're going to look at the Binomial Expansion Theorem, a shortcut method of raising a binomial to a power. (x+y)0 = 1 (x+y)1 = x + y (x+y)2 = x2 + 2xy + y2 (x+y)3 = x3 + 3x2y + 3xy2 + y3 (x+y)4 = x4 + 4x3y
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### Use the binomial theorem to write the binomial expansion (X+2)^3

(x + 2)^3 = x^3(1 + 2/x)^3 = x^3[1 + 3(2/x) + 3(2/x)^2 + (2/x)^3]
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### how do we solve this bionomial theorem

The expansion of (a+b)^7 using the binomial theorem is a^7+7a^6b+(7*6/2)*a^5b^2+(7*6*5/6)*a^4b^3+... Let's calculate the coefficients: 1, 7, 21, 35, 35, 21, 7, 1. Substituting the values in the question for a and b we have a=x^2y and b=a/2: x^14y^7+7x^12y^6*a/2+21x^10y^5a^2/4+35x^8y^4a^
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### what is the coefficient of the x^2y term in the equation of (x+2y)^3 using the binomial theorem

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### binomial theorem prove that 6 power n- 5n always leaves a remainder1when divided by25. explain

6 is 1+5, so the binomial expansion of 6^n=(1+5)^n=1+5n+25n(n-1)/2!+125n(n-1)(n-2)/3!+... . This can be written: 1+5n+25K, where K is an integer, because 25 is a factor in all successive terms. So 6^n=1+5n+25K. Rearranging, we get: 6^n-5n=25K+1. Therefore, if 25 is divided into the right-han
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