Mathway
Visit Mathway on the web
Start 7-day free trial on the app
Start 7-day free trial on the app
Download free on Amazon
Download free in Windows Store
Take a photo of your math problem on the app
get
Go
Enter a problem...
Upgrade
Calculators
About
Help
Sign In
Sign Up
Precalculus Examples
Step-by-Step Examples
Precalculus
Algebra Concepts and Expressions
Factor by Grouping
10
x
2
+
5
x
+
4
x
+
2
10
x
2
+
5
x
+
4
x
+
2
Step 1
Factor
out the
greatest common factor
from each group.
Tap for more steps...
Step 1.1
Group the first two
terms
and the last two
terms
.
(
10
x
2
+
5
x
)
+
4
x
+
2
(
10
x
2
+
5
x
)
+
4
x
+
2
Step 1.2
Factor
out the
greatest common factor
(
GCF
) from each group.
5
x
(
2
x
+
1
)
+
2
(
2
x
+
1
)
5
x
(
2
x
+
1
)
+
2
(
2
x
+
1
)
5
x
(
2
x
+
1
)
+
2
(
2
x
+
1
)
5
x
(
2
x
+
1
)
+
2
(
2
x
+
1
)
Step 2
Factor
the
polynomial
by
factoring
out the
greatest common factor
,
2
x
+
1
2
x
+
1
.
(
2
x
+
1
)
(
5
x
+
2
)
(
2
x
+
1
)
(
5
x
+
2
)
Enter YOUR Problem
Mathway requires javascript and a modern browser.
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
Please ensure that your password is at least 8 characters and contains each of the following:
a number
a letter
a special character: @$#!%*?&
