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Tju [1.3M]
2 years ago
5

16x^2+?x+36 perfect square trinomial

Mathematics
1 answer:
Hunter-Best [27]2 years ago
4 0

Answer:

  16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a +b)² = a² +2ab +b²

We want to match this form.

__

<h3>comparing terms</h3>

Comparing the known terms, we see ...

  16x² = a²   ⇒   a = 4x

  36 = b²   ⇒   b = 6

<h3>filling in the missing term</h3>

The missing term is the linear term:

  2ab = 2(4x)(6) = 48x

  ? = 48

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Answer:

The given expanded sum of the series is \sum\limits_{n=5}^{9}3n+2=115

Step-by-step explanation:

Given problem can be written as

\sum\limits_{n=5}^{9}3n+2

To find their sums:

Now expanding the series

That is put n=5,6,7,8,9 in the given summation

\sum\limits_{n=5}^{9}3n+2=[3(5)+2]+[3(6)+2]+[3(7)+2]+[3(8)+2]+[3(9)+2]

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=17+20+23+26+29  (adding the terms)

=115

Therefore \sum\limits_{n=5}^{9}3n+2=115

Therefore the given sum of the series is \sum\limits_{n=5}^{9}3n+2=115

The given expanded sum of the series is \sum\limits_{n=5}^{9}3n+2=115

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