All categories

4 years ago

What is the third term in the expansion of the binomial (2x + 5)^5?

Mathematics

1 answer:

Sphinxa [80]4 years ago

8 0

The third term of the binomial expansion of (2x + 5)⁵ is 2000x³.

The first term of the expansion is when r = 0 ; thus the second is when r = 1 and the third when r = 2.

The terms of the expansion are:
32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
↓
third term as stated

I ATTACHED THE METHOD OF ARRIVING AT THE ANSWER EASILY BELOW

You might be interested in

Aaron bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow him to watch 4 c

castortr0y [4]

Answer:

The scale factor is equal to 1/2

The dimensions of each channel when splits the screen is 46 in x 38 in

Step-by-step explanation:

we know that

The dimensions of the new television is 92 in x 76 in

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

A1 -----> the area of the new television

A2 ----> the area of each channel when splits the screen

z-----> the scale factor

$z^{2} =\frac{A2}{A1}$

we have that

The area of the new television is 4 times the area of each channel

$A1=4A2$

$(A2/A1)=1/4$

$z^{2} =\frac{1}{4}$

$z=\frac{1}{2}$ -----> the scale factor

When splits the screen, the dimension of each channel is equal to

92/2 in x 76/2 in

46 in x 38 in

Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides

Verify the value of the scale factor

92/46=1/2

76/38=1/2

8 0

4 years ago

!!!!!!Need Help ASAP!!!!!!!!!!

Artemon [7]

The picture is black I can’t see anything

4 0

3 years ago

What is the equation of the following line written in general form?

strojnjashka [21]

Eq. of line through (1,2) and (4,5) is
$y-y1= \frac{y2-y1}{x2-x1} (x-x1),
y-2= \frac{5-2}{4-1} (x-1)$ $y-2= \frac{3}{3} (x-1)
y-2=x-1
y-2-x+1=0
y-x-1=0$
x-y+1=0

4 0

3 years ago

Read 2 more answers

The third angle in an isosceles triangle is 8% more than twice as large as each of two base angles. Find the measure of each ang

madam [21]

Answer:

look closely aand you will see the answer, they are trying to trick you.

Step-by-step explanation:LOOK CLOSE

7 0

4 years ago

But what did you multiply to get 75?\

OLEGan [10]

Answer:

You multiply 37.5*2 to get 75.

Step-by-step explanation:

7 0

3 years ago