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
KonstantinChe [14]
3 years ago
15

Expand using pascal triangle (3x+2)^4

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

You might be interested in
Taylor states that 2,800,000 in scientific notation is 2.8 x 10 -6 because the number has six places to the right of the 2. Is T
soldier1979 [14.2K]

Scientific Notation is the way of <u>writing a number or expressing them</u> in a <u>shorter or more compact way.</u>

No, <u>Taylor's resoning is incorrect</u> because  2,800,000 = 2.8  * 10^{6}

From the question, we are given:

2,800,000 .

2,800,000 in scientific notation is  2.8  * 10^{6}.  

The reason the power is not to the negative 6 is that we are moving from the right-hand side to the left-hand side 6 times.

Therefore, <u>Taylor's reasoning is incorrect. </u>

To learn more, visit the link below:

brainly.com/question/22241437

7 0
2 years ago
Progress
irina [24]

An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.

<u>Given the following data:</u>

  • a = (q + r) centimeters.
  • b = (5q - 10s) centimeters.
  • c = (5s + 7r) centimeters.

<h3>What is a triangle?</h3>

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

<h3>How to calculate the perimeter of a triangle?</h3>

Mathematically, the perimeter of a triangle can be calculated by using this formula:

P = a + b + c

<u>Where:</u>

a, b, and c are length of sides.

Substituting the given parameters into the formula, we have;

P = q + r + 5q - 10s + 5s + 7r

P = 6q + 8r - 5s centimeters.

Read more on perimeter of triangle here: brainly.com/question/27109587

#SPJ1

7 0
1 year ago
What is the value of e to five decimal places
notsponge [240]

Using google calculator you can see that

e≈2.7 1 8 2 8 182846.....


Fifth decimal place is bold 8.

When we round up to 5th decimal place, we get

e≈2.7 1 8 2 8.

5 0
3 years ago
Select all the expressions below which represent a 20% discount off the price of an item that originally costs d dollars.
Hoochie [10]

B. d - 0.2

20%= 20/100= 0.2

so price= d-0.2

8 0
3 years ago
Factor Completely -5x^3 + 10x^2
Anit [1.1K]

Answer:

D

Step-by-step explanation:

Given

- 5x³ + 10x² ← factor out - 5x² from each term

= - 5x²(x - 2)  → D

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the population declined 21% down to 15,049, what was the population last year?
    7·1 answer
  • Seven hundred twelve thousandths in expanded form
    13·1 answer
  • What is the mathematical expression for “the $100 earned was split between all the people and each got $12.50”?
    12·2 answers
  • The mass of the cylinder is 50000 g find the density of the cylinder to the nearest tenth
    7·1 answer
  • What is x +2/3 =2
    15·2 answers
  • How to find the equation of a line with one point?
    9·1 answer
  • Answer!!!!! Help!!!
    9·1 answer
  • 11.
    13·1 answer
  • Base: 5 ft<br> area: 5 5/6 <br> what's the height( pls hurry&lt;3)
    14·1 answer
  • (a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!