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Nonamiya [84]
4 years ago
6

Which polynomial identity will prove that 49-4=45

Mathematics
1 answer:
goldfiish [28.3K]4 years ago
3 0
Consider the polynomial identity (difference of squares):
(x+y)(x-y) = x² - y²

Set x =7 and y = 2 to obtain
(7+2)*(7-2) = 7² - 2²
9*5 = 49 - 4
45 = 49 - 4
This is the result required, obtained by using difference of squares.

Answer: Difference of squares.
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Using the concept of probability and the arrangements formula, there is a  

0.002 = 0.2% probability that the first 8 people in line are teachers.

----------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
  • The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

A_n = n!

----------------------------------

The desired outcomes are:

  • First 8 people are teachers, in <u>8! possible ways.</u>
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Thus, D = 8! \times 4!

----------------------------------

For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

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A similar problem is given at brainly.com/question/24650047

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