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
Elza [17]
2 years ago
14

Can someone please help with this or explain how to do it. I'm not very sure where to begin ToT

Mathematics
1 answer:
larisa86 [58]2 years ago
5 0

Answer:

d. 12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

Step-by-step explanation:

First, we find the greatest common factor of 12x^23y^40z^9 and 10x^78z^5.

We work on the numbers, then on x, then on y, then on z.

We start with the GCF of 12 and 10.

10 = 2 * 5

12 = 2 * 3 * 3

The only factor 10 and 12 have in common is 2, so the GCF of 12 and 10 is 2.

Now we work on x. We have x^23 and x^78.

x^23 has 23 factors of x.

x^78 has 78 factors of x.

Since x^23 and x^78 have both at least 23 factors of x, x^23 is the GCF of x.

Now we work on y.

There is y^40 in one term, but there is no y in the other term. There is no GCF for the y.

Now we work on z. The first term has z^9. the second term has z^5. They both have at least 5 factors of z, so the GCF of z is z^5.

Now we put all the parts of the GCF together, and the GCF of the two terms is

2x^23z^5

We use option d. to factor.

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(___a____ + ____b___)

We already have the GCF outside the parentheses. Now we need to figure out what goes inside the parentheses.

The terms that go in positions a and b are the terms that when multiplied by the GCF give you the original expression.

We now work on position a.

What do you multiply by 2x^23z^5 to get 12x^23y^40z^9?

Answer: 6y^40z^4

Now we have

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + ____b___)

Now we do the same for position b.

What do you multiply by 2x^23z^5 to get 10x^78z^5?

Answer: 5x^55

Now we have

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

Answer: d. 12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

You might be interested in
3. (03.01)<br> Which expression is equivalent to 3(5 + 6)?<br> 8+9<br> 8 + 6<br> 15 + 18<br> 15 + 6
Afina-wow [57]

Answer:tytgh

Step-by-step explanation:

8 0
2 years ago
Graph the equation y=-X – 2 using the intercepts.
ahrayia [7]

Answer:

y intercept = (0,-2)

x intercept = (-2,0)

Step-by-step explanation:

For y intercept, plug 0 for x

y = (0) - 2

y = -2

y intercept = -2

For x intercept, plug 0 for y

(0) = -x - 2

Move -2 to other side

-x = 2

Since x is negitave, make 2 negitave

x = -2

x intercept = -2

4 0
2 years ago
What is the measure of an obtuse angle​
Ksju [112]
Greater than 90° but less than 180°.
5 0
3 years ago
Someone help me pls
Delicious77 [7]

Answer:

ans is 5 -¹⁸ thanks for asking

8 0
3 years ago
What is 8.478 in expanded form?
nataly862011 [7]
<span>8+0.4+0.07+0.008 you basically separate the numbers starting with the largest working down to the smallest.

i hope i helped

</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • prove or disprove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respe
    9·1 answer
  • Regan bought a rug priced at $335.40. Shipping and handling cost an additional 5% of the price. What was the total cost of the r
    9·1 answer
  • What type of function is represented below the tables of value??
    15·1 answer
  • What is the answer to 6/7 simplified
    15·2 answers
  • y= 2.83x + 88.7 i need the slope for this. can someone help? what is the relationship in the equation
    7·1 answer
  • How much longer is the hypotenuse of the triangle than its shorter leg? Triangle A B C. Side A C is 6 feet and side C B is 8 fee
    6·2 answers
  • Write to explain how to break apart addends to find the sum of 324+231
    6·2 answers
  • ] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al
    11·2 answers
  • What is the missing angle in the triangle?<br><br><br><br> 56°<br><br> 65°<br><br> 86°<br><br> 68°
    11·2 answers
  • Help me please! i forgot how do this problem.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!