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4
x
2
+
12
x
y
+
9
y
2
4{x}^{2}+12xy+9{y}^{2}
4
x
2
+
1
2
x
y
+
9
y
2
+
−
.
ln
>
<
×
÷
/
log
≥
≤
(
)
log
x
=
%
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factor(4x^2+12xy+9y^2)
factor 4x^2+12xy+9y^2
{4x}^{2}+12xy+{9y}^{2}
1
Rewrite it in the form
a
2
+
2
a
b
+
b
2
{a}^{2}+2ab+{b}^{2}
a
2
+
2
a
b
+
b
2
, where
a
=
2
x
a=2x
a
=
2
x
and
b
=
3
y
b=3y
b
=
3
y
.
(
2
x
)
2
+
2
(
2
x
)
(
3
y
)
+
(
3
y
)
2
{(2x)}^{2}+2(2x)(3y)+{(3y)}^{2}
(
2
x
)
2
+
2
(
2
x
)
(
3
y
)
+
(
3
y
)
2
2
Use
Square of Sum
:
(
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
.
(
2
x
+
3
y
)
2
{(2x+3y)}^{2}
(
2
x
+
3
y
)
2
Done
(2*x+3*y)^2
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