<span>a³-b³=(a-b)(a²+ab+b²)
64x⁶ - 27
64 = 4³,
x⁶ = (x²)³
27 = 3³
</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³. Now, we can use a formula where a=4x², b=3
(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) = (4x² -3)(16x⁴ +12x² + 9)
<span>
Answer: </span>64x⁶ - 27= (4x² -3)(16x⁴ +12x² + 9) <span>
</span>
Answer:
3.26
Step-by-step explanation:
Rounding to the nearest hundredth means round to the nearest two decimal places.
To do this, all we need to look at is the 3rd decimal place.
Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.
Therefore, the answer should just be 3.26
Answer:
$13286.02
Step-by-step explanation:
100 + 8 = 108
108 / 100 = 1.08
6154 x
= $13286.02
The convex heptagon has 14 distinct diagonals can be drawn
Step-by-step explanation:
A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon
The formula of number of diagonals in any polygon is
, where
- d is the number of the diagonals of the polygon
- n is the number of sides of the polygon
∵ The heptagon has 7 sides
∴ n = 7
∵ The number of diagonals =
- Substitute n by 7 in the rule above
∴ The number of diagonals = 
∴ The number of diagonals = 
∴ The number of diagonals = 
∴ The number of diagonals = 14
The convex heptagon has 14 distinct diagonals can be drawn
Learn more:
You can learn more about the polygons in brainly.com/question/6281564
#LearnwithBrainly
Given:
The limit problem is:

To find:
The value of the given limit problem.
Solution:
We have,

It can be written as:




Applying limit, we get


Therefore, the value of given limit problem is
.