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2 years ago

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:

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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

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

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