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Angelina_Jolie [31]
1 year ago
6

(5x^2 - 2x - 14) - (x^2 + 4x - 10)

Mathematics
2 answers:
Sindrei [870]1 year ago
6 0

Answer:

4x^2−6x−4

Step-by-step explanation:

Let's simplify step-by-step.

5x2−2x−14−(x2+4x−10)

Distribute the Negative Sign:

=5x2−2x−14+−1(x2+4x−10)

=5x2+−2x+−14+−1x2+−1(4x)+(−1)(−10)

=5x2+−2x+−14+−x2+−4x+10

Combine Like Terms:

=5x2+−2x+−14+−x2+−4x+10

=(5x2+−x2)+(−2x+−4x)+(−14+10)

=4x2+−6x+−4

JulijaS [17]1 year ago
4 0

Answer:

2( x - 2)(2x + 1)

Step-by-step explanation:

Dude

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The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

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7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

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7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

To learn more on patterns: brainly.com/question/23136125

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