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Vikentia [17]
4 years ago
12

I need help on these problems

Mathematics
1 answer:
Mazyrski [523]4 years ago
4 0
Hope this helps and hope you can read it, if not let me know :)

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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
in Oklahoma the states sales tax is 7%.if James purchases a lawn mower then how much will James pay in states sales tax​
Nimfa-mama [501]

Answer:

Step-by-step explanation:

7% converts into 0.07

the price of the lawn mower × 0.07

you should get your answer

7 0
3 years ago
Undefined term which goes on forever in all directions and has no thickness
aksik [14]
Would this be a line?
7 0
3 years ago
A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:
Volgvan

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

4 0
2 years ago
What is 15 to the 5 power
inna [77]
15^5 is 759,375
..........................
6 0
4 years ago
Read 2 more answers
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