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Anarel [89]
2 years ago
9

Use pascal's triangle to expand the following binomial expression 1.(2k-1/3)⁶​

Mathematics
1 answer:
Gwar [14]2 years ago
7 0

9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

     15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6

  = 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

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3 years ago
Solve the system of equations.<br> 2x+8y=6<br> -5x-20y+-15
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Answer:

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<h3>What is probability?</h3>

Probability is the aspect of mathematics that focus on the occurrence of a random event.

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Therefore, the  demand that has an 8% probability of being exceeded is 38.1230 .

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3 years ago
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Using the keywords sum of, more than, and subtracted will help you. (You can also flip the expression since it didn't say how.

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3 years ago
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