Answer:
(a + 3)
Step-by-step explanation:
a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)
a² + a - 6 = (a - 2)(a + 3)
a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)
HCF = (a + 3)
Hope it helps.
;)
<3
Answer:
The distributive property allows you multiply a sum in parenthesis by multiplying each addend separately, then add the products.
Step-by-step explanation:
How to use the distributive law example.
2(x+4) = 16
To use the distributive law in this example multiply 3 by all terms in the parenthesis. Multiply 2 and x, then 2 and 4 to open the parenthesis.
2x+8=16
That is how you use the distributive law.
To continue solving, subtract 8 from both sides.
2x+8-8=16-8
2x=8
Divide 2 from both sides.
2x/2=8/2
x=4
Hope this helps!
If not, I am sorry.
It's 34.
You can either intuitively know 25% means one-fourth and divide 136 by 4
Or
Convert the percentage to a decimal and multiply. 136 * 0.25 = 34
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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