Reference
Practice
Premium
Log In
English
English ✔
Español
日本語
简体中文
繁體中文
−
3
x
2
+
36
x
−
108
-3{x}^{2}+36x-108
−
3
x
2
+
3
6
x
−
1
0
8
+
−
.
ln
>
<
×
÷
/
log
≥
≤
(
)
log
x
=
%
Choose Topic
Examples
"(x+1)/2+4=7"
"factor x^2+5x+6"
"integrate cos(x)^3"
More »
factor(-3*x^2+36*x-108)
factor -3*x^2+36*x-108
-3{x}^{2}+36x-108
1
Factor out the common term
3
3
3
.
−
3
(
x
2
−
12
x
+
36
)
-3({x}^{2}-12x+36)
−
3
(
x
2
−
1
2
x
+
3
6
)
2
Rewrite
x
2
−
12
x
+
36
{x}^{2}-12x+36
x
2
−
1
2
x
+
3
6
in the form
a
2
−
2
a
b
+
b
2
{a}^{2}-2ab+{b}^{2}
a
2
−
2
a
b
+
b
2
, where
a
=
x
a=x
a
=
x
and
b
=
6
b=6
b
=
6
.
−
3
(
x
2
−
2
(
x
)
(
6
)
+
6
2
)
-3({x}^{2}-2(x)(6)+{6}^{2})
−
3
(
x
2
−
2
(
x
)
(
6
)
+
6
2
)
3
Use
Square of Difference
:
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
{(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
.
−
3
(
x
−
6
)
2
-3{(x-6)}^{2}
−
3
(
x
−
6
)
2
Done
-3*(x-6)^2
Like this solution? Share it!
Copy Link
How can we make this solution more helpful?
English
Choose Topic
