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k0ka [10]
3 years ago
12

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Mathematics
2 answers:
kifflom [539]3 years ago
6 0

A on edg, "The exponent of B will always be even"

Alja [10]3 years ago
4 0

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sineoko [7]

Answer:

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3 0
2 years ago
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Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Car
Korvikt [17]

Answer:

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

4 0
3 years ago
Whole page for 81! Good luck!
OLEGan [10]

Answer:

Prime number: A prime number has factor of only 1 and itself.

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Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

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30= 2^1 3^1 5^1

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24= 2^3 x 3

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6 0
3 years ago
Solve for x and state the measure of the angles with an x in them
Arada [10]

Answer:

x = 83

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

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5 0
3 years ago
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The work shows how to use long division to find?
KIM [24]

Answer:

remainder = \frac{1}{x-2}

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

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That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

remainder = \frac{1}{x-2}

6 0
3 years ago
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