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3 years ago

Factor the following expression completely. 16x^5-x^3 A. B. C. D.

Mathematics

2 answers:

laiz [17]3 years ago

8 0

Answer:

The factor of the provided expression are: $x^3(4x-1)(4x+1)$

Step-by-step explanation:

Consider the provided expression.

$16x^5-x^3$

Here the Greatest common factor in the above expression is x³.

The above expression can be written as:

$x^3(16x^2-1)$

$x^3((4x)^2-1^2)$

Now use the difference of the square property: $a^2-b^2=(a+b)(a-b)$

By using the above property we can rewrite the provided expression as shown:

$x^3(4x-1)(4x+1)$

Hence, the factor of the provided expression are: $x^3(4x-1)(4x+1)$

Ket [755]3 years ago

6 0

Answer:

x^3(2x+1)(2x-1)

Step-by-step explanation:

first take common then use formula of a^2-b^2

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Aleks04 [339]

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3 years ago

Who is faster? A girl who runs 200 meters in 28 seconds or her friend who runs 400 meters in 60 seconds? H.E.L.P

blagie [28]

Answer: The girl herself ran faster than her friend.

Step-by-step explanation:

This answer, of course assumes a lot of variables, but for the sake of keeping things simple, lets assume the following, the people are ran in a "straight line" with no "obstacles" in their way, and ran on the same track.

Calculating in meters-per-second for the girl who ran 200 meters in 28 seconds, you get 7.14285714286 meters per second

Calculating in meters-per-second for the girl who ran 400 meters in 60 seconds, you get 6.66666666667 meters per second

Comparing the two results, it can be "accurately" concluded that the girl herself ran faster than her friend under the following assumptions earlier stated.

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3 years ago

Determine sum of the first 16 terms (S16) for an arithmetic series given the first tem is 9 (a = 9) and

Mekhanik [1.2K]

$\boxed{Sum=624}$

<h2>Explanation:</h2>

The nth term of an arithmetic series ( $a_{n}$ ) and the sum of an arithmetic series (Sum), for n terms, can be found as:

$a_{n}=a_{1}+d(n-1) \\ \\ Sum=\frac{n}{2}[2a_{1}+(n-1)d] \\ \\ \\ Where: \\ \\ a_{1}:First \ term \\ \\ d:Common \ difference \\ \\ n=Number \ of \ term$

So, in this exercise:

$a_{1}=a=9 \\ \\ d=4 \\ \\ n=16 \\ \\ \\ Sum=\frac{16}{2}[2(9)+(16-1)4] \\ \\ Sum=8[18+(15)4] \\ \\ Sum=8[18+60] \\ \\ Sum=8[78] \\ \\ \boxed{Sum=624}$

<h2>Learn more:</h2>

Missing numbers in triomino: brainly.com/question/10510270

#LearnWithBrainly

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3 years ago

The president of a certain University receives a salary that is three times the salary of one of the department heads the total

Furkat [3]

<u>Answer:</u>

$142500

<u>Step-by-step explanation:</u>

We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.

Assuming $x$ to be the salary of the department head, if the total of the two salaries is $190000, we are to find the salary of the president of the University.