Sign In
Ask Question
Mathematics
Lillianna Montoya
30 October, 22:36
What is the gcf of 16x^5y^2+40x^4y^3
+2
Answers (
1
)
Scooter
31 October, 01:04
0
Step-by-step explanation:
Since
16
x
5
y
2
,
40
x
4
y
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
16
x
5
y
2
,
40
x
4
y
3
:
1. Find the GCF for the numerical part
16
,
40
2. Find the GCF for the variable part
x
5
,
y
2
,
x
4
,
y
3
3. Multiply the values together
Find the common factors for the numerical part:
16
,
40
The factors for
16
are
1
,
2
,
4
,
8
,
16
.
Tap for more steps ...
1
,
2
,
4
,
8
,
16
The factors for
40
are
1
,
2
,
4
,
5
,
8
,
10
,
20
,
40
.
Tap for more steps ...
1
,
2
,
4
,
5
,
8
,
10
,
20
,
40
List all the factors for
16
,
40
to find the common factors.
16
:
1
,
2
,
4
,
8
,
16
40
:
1
,
2
,
4
,
5
,
8
,
10
,
20
,
40
The common factors for
16
,
40
are
1
,
2
,
4
,
8
.
1
,
2
,
4
,
8
The GCF for the numerical part is
8
.
GCF
Numerical
=
8
Next, find the common factors for the variable part:
x
5
,
y
2
,
x
4
,
y
3
The factors for
x
5
are
x
⋅
x
⋅
x
⋅
x
⋅
x
.
x
⋅
x
⋅
x
⋅
x
⋅
x
The factors for
y
2
are
y
⋅
y
.
y
⋅
y
The factors for
x
4
are
x
⋅
x
⋅
x
⋅
x
.
x
⋅
x
⋅
x
⋅
x
The factors for
y
3
are
y
⋅
y
⋅
y
.
y
⋅
y
⋅
y
List all the factors for
x
5
,
y
2
,
x
4
,
y
3
to find the common factors.
x
5
=
x
⋅
x
⋅
x
⋅
x
⋅
x
y
2
=
y
⋅
y
x
4
=
x
⋅
x
⋅
x
⋅
x
y
3
=
y
⋅
y
⋅
y
The common factors for the variables
x
5
,
y
2
,
x
4
,
y
3
are
x
⋅
x
⋅
x
⋅
x
⋅
y
⋅
y
.
x
⋅
x
⋅
x
⋅
x
⋅
y
⋅
y
The GCF for the variable part is
x
4
y
2
.
GCF
Variable
=
x
4
y
2
Multiply the GCF of the numerical part
8
and the GCF of the variable part
x
4
y
2
.
8
x
4
y
2
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“What is the gcf of 16x^5y^2+40x^4y^3 ...”
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
How many line segment's does a hexagon have?
Answers (1)
Jazmin is training for an upcoming race at the track. On Monday, she ran 8 laps around the track, which equals 2. On Wednesday she ran 20 laps at the track. How many miles did Jazmine run on Wednesday?
Answers (1)
A bag has four green marbles and eight red marbles. Half of the red marbles are made of glass. A marble is selected at random from the bag. What is the probability that is a red, glass marble?
Answers (1)
Rich is driving from Philadelphia to Pittsburgh at 70 miles per hour and Michelle is driving from Pittsburgh to Philadelphia at 65 miles per hour if Philadelphia and Pittsburgh are 305 miles apart how long will it take rich and Michelle to meet
Answers (1)
The average number of minutes that it took Jermaine to complete his homework assignments for a week in September was 27 minutes, with a mean absolute deviation of 4 minutes. With this informatiom, which statement is true? A)
Answers (1)
New Questions in Mathematics
Timmy is training for a triathlon. For every four minutes spends running, he spends seven minutes biking. How many minutes will Timmy run if he has spent 63 minutes biking
Answers (1)
How many times does 0.15 go into 500?
Answers (2)
28 is what percent of 50?
Answers (2)
Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there?
Answers (1)
3y to the power of 2 + 6y+2y
Answers (1)
Home
»
Mathematics
» What is the gcf of 16x^5y^2+40x^4y^3
Sign In
Sign Up
Forgot Password?