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Rina8888 [55]
2 years ago
7

Explain why please and make sure it is in full detail

Mathematics
2 answers:
Marysya12 [62]2 years ago
8 0

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

Bumek [7]2 years ago
6 0

Answer:

The exponent of an expression says how many times to multiply the expression.

\implies (y-7)^2=(y-7)(y-7)

Expand the brackets:

=y^2-7y-7y+49

Combine like terms:

=y^2-14y+49

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

y^2-49=(y+7)(y-7)

Using "Difference of Two Squares" a^2-b^2=(a+b)(a-b)

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there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same ti
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<h3>Answer:   60 minutes</h3>

=====================================================

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

  • multiples of 4 are: 4,8,12,16,20,24,...
  • multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

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  • multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

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The bells ring together every <u>60 minutes</u>

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

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