Sign In
Ask Question
Mathematics
Roselyn Melton
4 October, 00:44
How do I factor 125x^3+8
+2
Answers (
1
)
Evie
4 October, 02:11
0
Step 1:
53x3 - 8
Step 2:
Trying to factor as a Difference of Cubes:
2.1 Factoring: 125x3-8
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 + ab + b2)
Proof : (a-b) • (a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3 + (a2b-ba2) + (ab2-b2a) - b3 =
a3+0+0+b3 =
a3+b3
Check : 125 is the cube of 5
Check : 8 is the cube of 2
Check : x3 is the cube of x1
Factorization is:
(5x - 2) • (25x2 + 10x + 4)
Trying to factor by splitting the middle term
2.2 Factoring 25x2 + 10x + 4
The first term is, 25x2 its coefficient is 25.
The middle term is, + 10x its coefficient is 10.
The last term, "the constant", is + 4
Step-1 : Multiply the coefficient of the first term by the constant 25 • 4 = 100
Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is 10.
-100 + - 1 = - 101
-50 + - 2 = - 52
-25 + - 4 = - 29
-20 + - 5 = - 25
-10 + - 10 = - 20
-5 + - 20 = - 25
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found!
Conclusion : Trinomial can not be factored
Final result:
(5x - 2) • (25x2 + 10x + 4)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“How do I factor 125x^3+8 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Work out the area of a trainable of base 6cm and height 8cm
Answers (1)
Lily went to the mall at 9:35 a. m. and left at 12:05 p. m. how much time did she spend the mall
Answers (2)
What is the sum of n natural numbers: 1+2 + ... + n?
Answers (1)
The value of a machine when new is £8000. The value depreciates by 10% each year. Work out its value after 3 years
Answers (1)
How do you figure out a sum of 2 number, like the sum of 24 and 75?
Answers (2)
New Questions in Mathematics
I NEED to write a number trick that takes any number and always ends with 10 more than the original
Answers (1)
A Labrador Retriever weighs 48 pounds. A Huskie weighs 755 ounces. Which dog weighs more? By how many ounces more?
Answers (1)
What is the solution to 5x < 30
Answers (1)
Which interpretations dor the given expression is correct
Answers (1)
Javier is buying food in the lunch line. The tray of salad plates is 3/8 full. The tray of fruits plates is 3/4 full. Which tray is more full?
Answers (1)
Home
»
Mathematics
» How do I factor 125x^3+8
Sign In
Sign Up
Forgot Password?