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
Ber [7]
3 years ago
14

An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common fact

or. Part B: Factor the entire expression completely. Show the steps of your work.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y  = 2 * x³ * y,

18xy = 2 * 3 * 3 * x * y,

− 10x²y = 2 * - 5 * x² * y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 * - 5 * 3 * 3 * y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

2y\left(x^3+9x-5x^2-45\right) - Factor out " (x^3+9x-5x^2-45\right)) " by grouping,

\left(x^3-5x^2\right)+\left(9x-45\right) - Factor 9 from 9x - 45 and x² from x³ - 5x²,

9\left(x-5\right)+x^2\left(x-5\right) - Factor out common term x - 5,

\left(x-5\right)\left(x^2+9\right) - And our solution is thus 2y( x - 5 )( x² + 9 )

You might be interested in
Evaluate the function. h(n)=n with the power of 3 -4 find h(-2)
Alisiya [41]

Answer:

stuff with math

Step-by-step explanation:

8 0
3 years ago
Solve for b b+4.22=7.08
mr Goodwill [35]

Steps to solve:

b + 4.22 = 7.08

~Subtract 4.22 to both sides

b = 2.86

Best of Luck!

7 0
3 years ago
Read 2 more answers
Help and explain tyty:)
Kamila [148]
I hope this one help you

6 0
3 years ago
Help me im just too lazy to figure it out :)
goldenfox [79]

Answer:

m= -16

Step-by-step explanation:

you would add 19 to -35 because you are trying to isolate the variable m.

7 0
3 years ago
Read 2 more answers
The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is conta
Zolol [24]
I'm not sure but I.think it's C
4 0
3 years ago
Other questions:
  • josh has a bag with blocks. for every 2 red blocks there are 3 blue and 1 white block. in the bag there are 54 blocks altogether
    8·1 answer
  • Which answer could it be??
    12·1 answer
  • I will give you extra point and mark you braniest if you give me an explanation on how to find the answer.
    15·2 answers
  • You earn a 12% commission for every car you sell. How much is your commission if you sell a $23,000 car?
    14·1 answer
  • Ok your very lucky if you see this..what’s 2+2 but you have to give reasoning
    9·2 answers
  • I only need help with #15
    13·2 answers
  • What is 2×+y=9 in the y=mx+b form?
    13·1 answer
  • The area of a rectangular hotel room is 260 square feet. The perimeter is 66 feet. What are the dimensions of the room?
    9·1 answer
  • What is 1 dollor 2 dimes 13 pennies PLUS 2 dollaars and 3 quqrters?
    10·2 answers
  • Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!