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3 years ago

The binomial expansion of (x-2y)^3 is ____.

Mathematics

2 answers:

White raven [17]3 years ago

6 0

A= x^3−6x^2y+12xy^2−8y^3

lukranit [14]3 years ago

5 0

I think the right answer is x`3 - 6x`2y + 12xy`2 - 8y`3 but its not here tho

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Plz I need help can you solve this

tester [92]

Hey there,

Please check the picture attached as my answer.

Convey me if you have any doubts.

~ Benjemin360

6 0

2 years ago

Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

4 years ago

The population of California grew at about 3.5%per year from the year 1860 to 1990 the population in 1860 was about 400,000 peop

Ira Lisetskai [31]

Answer:

Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates (x, -y) located? A) Quadrant I B) Quadrant II C) Quadrant IV D lll

7 0

3 years ago

How is each function related to y=x? Graph the function by translating the parent function

slega [8]

The graph of y = x + 2 is the obtained by shifting the graph of y = x, 2 units upwards.

The graph of y = x - 1.2 is the obtained by shifting the graph of y = x, 1.2 units downwards.

5 0

4 years ago

What is the surface area of a dome ( 1/2 sphere) with a radius of 12 meters?<br> A.

Step2247 [10]

Answer:

$Area = 1357.344m^2$