1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FrozenT [24]
3 years ago
10

Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+

2a) 24a4+18=6(4a4+3)
Mathematics
2 answers:
Sedaia [141]3 years ago
8 0
B and D are the correct ones!
irinina [24]3 years ago
6 0

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

From above we can conclude that the below expressions are factored completely

16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

You might be interested in
Find the surface area and volume of the pyramid. ​
serious [3.7K]

Given:

The figure of a square base pyramid.

To find:

The area of volume of the pyramid.

Solution:

The area of square base is:

B=(side)^2

B=(16)^2

B=256

Area of one triangular side of the pyramid is:

A_1=\dfrac{1}{2}\times base\times height

A_1=\dfrac{1}{2}\times 16\times 13

A_1=104

Now, the total surface area of the pyramid is:

A=B+4A_1

A=256+4(104)

A=256+416

A=672

Therefore, the surface area of the pyramid is 672 square m.

The volume of the pyramid is:

V=\dfrac{1}{3}Bh

Where, B is the base area and h is the vertical height of the pyramid.

Substituting B=256,\ h=6, we get

V=\dfrac{1}{3}(256)(h)

V=(256)(2)

V=512

Therefore, the volume of the pyramid is 512 cubic meters.

Hence the correct option is d.

6 0
2 years ago
Giving brainliest to correct answers!
mash [69]

Answer:

1. 5.61 lb 2. 22,000 pounds 3. they are the same

Step-by-step explanation:

16 oz in a lb. 16 x 5 is 90. extra 7 is approx 0.61 of a pound. 2000 lb in a ton. 2000 x 2 = 20000 extra 2000. 22000 is bigger. 1000 grams in a kilo. 1000 x 7 = 7000. they are the same

5 0
3 years ago
23 20' 48" is the same as _____. <br><br> Round to the nearest hundredth of a degree.
pentagon [3]
23° 20' 48" in degrees

Minutes are 1/60 of a degree and seconds 1/60 of a minute.

Let's convert the 48" to minutes.
48/60 = 0.8

23° 20' 48" ⇒ 23° 20.8'

Let's convert the 20.8' to degrees.
20.8/60 ≈ 0.3466667

23° 20.8' ⇒ 23.35°
3 0
3 years ago
Read 2 more answers
What percentage of 3 is 4?
Artyom0805 [142]

Answer:

13.333% of 3 is 4.

Step-by-step explanation:

Take missing value = x

x% of 3 = 4

x/100 × 3 = 4

3x/100 = 4

3x = 400

x = 400/3

x = 13.333

Hope it helps ⚜

5 0
2 years ago
Read 2 more answers
Simplify the product 5/n+1 multiplied by n+1/n+3
sattari [20]

Answer:

It equals 5 /n2+4n+3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help me<br><br>i need help with this​
    5·1 answer
  • A yogurt shop offers 3 different flavors of frozen yogurt and 15 different toppings. How many choices are possible for a single
    13·1 answer
  • Can you please help me with my algebra?
    13·1 answer
  • I WILL AWARD BRAINLIEST!! PLEASE HELP!!
    7·1 answer
  • Please someone helps with 1,2,3,4 much appreciated!
    12·1 answer
  • I couldn’t find the radical sign so here’s the problem in a picture :)
    14·2 answers
  • Pls help its not hard i need 100% on this ugh
    11·2 answers
  • Heather levantó un juguete con una masa de 7/12 de kilogramo. Luego otro juguete con una masa de 1/12 de kilogramo.
    14·2 answers
  • (trigonometry) solve for x
    7·2 answers
  • How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a p
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!