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
alexira [117]
4 years ago
12

Use the Binomial Theorem to expand each binomial (5x-4y)^3

Mathematics
1 answer:
jek_recluse [69]4 years ago
5 0
You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

-----------------

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³
You might be interested in
Need help wih this<br> i will give brainliest and 15pts​
Nina [5.8K]

Answer: what you need to do is multiply 3 times 1 and add 2 to the sum that you get which would be 5/3 for the first one because you keep the same denominator! Just multiply the denominator the bottom number and add the numerator the top number to your sum that you got from multiplication! Do that for all of them and you should get an improver fraction!

:)

Finding the reciprocal is easy just flip the numbers I’m in 6th grade I learn this already!

For example just flip 3/7 to 7/3

5 0
3 years ago
Read 2 more answers
Gimme a simple work for brainlist
I am Lyosha [343]
1. 40
2. 5
3. 2
4. 2 units per text message
8 0
3 years ago
Hopefully you can see the question! If not, jut comment down below this and I'll put the question in the comments :) Thanks for
OlgaM077 [116]

Answer:

2 minutes

Step-by-step explanation:

You can make an equation to model the question.

y=60 initial starting value,

y=(750-720)x, plug in 60 for y,

60=30x, x = 2 minutes

4 0
3 years ago
A, B &amp; C form a triangle where BAC = 90 degrees. AB = 4.9 mm and CA =10.4 mm. Find the length of BC, giving your answer roun
forsale [732]

Answer:

used Pythagorean theorem to figure this out

a² + b² = c²

BC ~ 11.5 mm

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  {4.9}^{2}  +  {10.4}^{2}  =  {c}^{2}  \\ 24.01 + 108.16 =  {c}^{2}  \\ 132.17 =  {c}^{2}  \\ c =  \sqrt{132.17}  \\ c = 11.4965 \:  \:  \:  \: approx. \:  \:  \:  \: 11.5 \: mm

7 0
3 years ago
at a baseball game, a vender sold a combined total of 221 sodas and hot dogs. the number of hot dogs sold was 59 less than the n
marishachu [46]
Let h be hot dogs and s be sodas

h+s=221
h=s-59
s=s

s+s-59=221
2s-59=-221
2s=280
s=140
h=140-59=81
140+81=221

Answer: there were 81 hotdogs and 140 sodas sold
7 0
4 years ago
Other questions:
  • Jbnhdfjkgdshbajkifvdguigdfbugdfbnjkvgfvfd
    6·1 answer
  • Solve 4 + 4 ( x - 2 ) = 2 ( x + 1 ) - x<br> The question requires you to show your work
    6·1 answer
  • Find last year's salary if after a 5% pay raise , this year's salary is $39,375
    15·1 answer
  • Use compatible numbers to estimate quotient 2000 divided by 7
    10·1 answer
  • 2y+x+4z + 3x +9y+ 3z
    12·2 answers
  • 5 3 Divide: 3 4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B%3F8%20%5Cdiv%20%20%5Cfrac%7B3%7D%7B%3F4%7D%20%7D%20" i
    7·1 answer
  • I need this by midnight! does anyone know how to find a b and c? thank you!
    15·1 answer
  • An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance
    7·1 answer
  • Who wants to go ramp a car off a bridge?
    8·2 answers
  • Christy purchased an art easel at a garage sale for $30. She later sold the easel on Craigslist for $45. What was the percent in
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!