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CaHeK987 [17]
3 years ago
6

What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!


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jada surveyed all the 7th and 8th graders at her school abouth whether they had pets. Complete the missing entries in this two w
REY [17]

Here is the completed table:

                               Has pet     Has no pet      Total

7th grade                102            48                       150

8th grade                107            68                      175  

Total                          209           116                     325

<h3>What is a two-way table?</h3>

A two way table is used to show the frequency of two categorical variables. Information are usually presented in rows and columns.

  • The 7th grade students that have no pets = 150 - 102 = 48
  • The 8th grade students that have pets = 175 - 68 = 107
  • Total students that have pets = 102 + 107 = 209
  • Total students that have no pets = 48 + 68 = 116
  • Total = 209 + 116 = 325

Please find attached the table. To learn more about addition, please check: brainly.com/question/19628082

3 0
2 years ago
Factor 2x^4 + 3x^3 +14x^2 +24x – 16
Annette [7]

Answer:

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Step-by-step explanation:

 

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = x and  b = 1

( x ^2 + 8 ) ( 2 x − 1 ) ( x + 2 )

Glad I was able to help!!

3 0
3 years ago
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nirvana33 [79]

Answer:

tanx-(\sqrt(11))/(5)cosx>0

Step-by-step explanation:

Because to do this kind of trig you first have to know how to do basic trg

4 0
3 years ago
What is 5 less than the product of 10 and c?
Finger [1]

Hi, the equation you typed is 10c-5

less than is subtraction and the product of two numbers is multiplying them together.

3 0
2 years ago
How would you use estimation to evaluate this expression 10.2 x [(2x3.7)+8]
Goryan [66]
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6 0
3 years ago
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