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]
2 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]2 years ago
8 0
B and D are the correct ones!
irinina [24]2 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
What is the sum of 10+20?
julsineya [31]

Answer: 10+20=30

Step-by-step explanation:

6 0
3 years ago
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0
3 years ago
10 to the power of 4 as a decimal
Nonamiya [84]

Answer:

You treat it as 10^4 (the small number is the number of zeros. Therefore the answer is 10000. Or of you meant 10^-4. Its the same concept, just reversed. So the answer in this case is 0.0004.

Cheers! :)

3 0
2 years ago
Can You Help Me With numbers 6-8
k0ka [10]

Hello,

Your answers and explanations are below.

6 - 5xy

5 times the product of x and y. The product of x and y means to multiply. That is where we get this: xy. 5 times that product is where we add 5 to it and get this: 5xy.


7 - 4x

We get this because we know he gets $4 an hour. We just do not know how many hours he babysat. The hours is X and we multiply that by 4.


8 - 5.5

Take 8.3 and subtract 2.8 to find x. Once we do that we get 5.5, and that is X.


9 - We can't see the problem. It's cut off

Good Luck,

- I.A. -

4 0
3 years ago
Will mark brainliest
TEA [102]

Answer:

The width is 2.

Step-by-step explanation:

The equation is 2 x 3 x ? = 12.

It is 2 long

It is 3 in height

2 x 3 = 6

6 x 2 = 12

so 2 is the width.

5 0
2 years ago
Other questions:
  • 93 is decreased to 90
    14·1 answer
  • Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?
    9·1 answer
  • Determine the quotient:2 4/7 ÷1 3/6
    13·1 answer
  • The figures below are similar find the missing perimeter P = 30 m 8m p = ? 4.8 m
    9·1 answer
  • There are three concerts at lakeside one has 953 as attendance and the other 2 have 1100 as the attendance what is the average o
    11·1 answer
  • Solve the system of equations below by graphing them with a pencil and
    8·2 answers
  • The list price is $74.13. Trade discount of 7/21. Find net cost
    13·1 answer
  • Expand the expression: 3ln2x+lnx-ln17
    8·2 answers
  • Help me plz.................
    5·2 answers
  • Find X: <br> J:58<br> K:70<br> L:111<br> M:121
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!