Find the product of 3(x+4)(x-5)

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

First distribute the 3
(3x + 12)(x - 5)
Multiply
3x ${^2}$ - 3x - 60

ASHA 777 [7]3 years ago

4 0

For this case we have the following steps:

Step 1:

We apply distributive property, which states:

$a (b + c) = ab + ac$

Applying the property to the product of "3" and the first parenthesis we have:

$(3x + 12) (x-5)$

Step 2:

Apply distributive property again

$3x ^ 2-15x + 12x-60$

Step 3:

We add similar terms

$3x ^ 2-3x-60$

Thus, the product is given by: $3x ^ 2-3x-60$

Answer:

$3x ^ 2-3x-60$

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What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The missing 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 recurrence 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 defined 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:

n = 0

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

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

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

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

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