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umka2103 [35]
3 years ago
12

Which of the following expressions is equivalent to a^3 + b^3?

Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

(a + b)(a² - ab + b²)

Step-by-step explanation:

a³ + b³ ← is a sum of cubes and factorises as

a³ + b³ = (a + b)(a² - ab + b²) ← equivalent expression

You might be interested in
Is X-1 a factor of x^5-1?
Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

x=1

Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

When coming to x^5+1, it would become 1^5+1=1+1=2

So x-1 isn't a factor of x^5+1.

4 0
2 years ago
HELP!!
WITCHER [35]

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.

<h3>What is a triangle?</h3>

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

Triangle is a very common figure to deal with in our daily life.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠A +  m∠B +  m∠C = 180°

m∠C = 180° - 58° -  44°

m∠C = 78°.

The exterior angle of C = 180- 78 = 102°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".

For more about triangles,

brainly.com/question/2773823

 

#SPJ1

 

5 0
1 year ago
Read 2 more answers
Find the median. 90, 88, 100, 82, 80.<br> PLEASE
Ludmilka [50]

Answer:

Step-by-step explanation:

80, 82, 88, 90, 100

Now cross out the numbers starting with 80 and 100 and keep going till you get the middle number which would be 88

5 0
3 years ago
Read 2 more answers
Find the arc length of the partial circle.
Step2247 [10]
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•

Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
3 0
3 years ago
2 inches by 1.5 inches. The scale of the copy is one in.:40cm.
Nana76 [90]
Sorry I do not know. Sorry to let you down
5 0
4 years ago
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