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Leokris [45]
3 years ago
7

Expanded form: (4a+4b)^3

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Step-by-step explanation:

use the formula: (a+b)³ = a³+3a²b+3ab²+b³

and place the corresponding values.

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Helppp new asap maths
allochka39001 [22]
The answers are boxed the rest of it is just the work in case you want to know how to do it.

5 0
3 years ago
Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?
Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in R^{4} represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span R^{m}. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span R^{4}. It implies that the set of 3 vectors of A does not span all of R^{4}.

In general, the set of n vectors in R^{m} represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of R^{m}. for n < m

8 0
3 years ago
Round 2.408 to the nearest hundredth
Verdich [7]
8 in 2.408 is closer to 10, so you round 2.408 to 2.41
7 0
3 years ago
Read 2 more answers
Damian is paid $1,980 monthly. What is his annual salary?
ZanzabumX [31]

Answer:

23,760.

Step-by-step explanation:

Multiply the monthly salary x 12 since there are 12 months

5 0
3 years ago
Read 2 more answers
Grayson works in a department store selling clothing. He makes a guaranteed salary
MrRissso [65]

Step-by-step explanation:

a) $350 per week

20% commission on sales

For $925 in sales, commission is

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Total earning = $350 + $185 = $535

b) For $x in sales, commission is

20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

4 0
3 years ago
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