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\[4{x}^{2}-28xy+49{y}^{2}\]
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factor(4x^(2)-28xy+49y^(2))
factor 4x^(2)-28xy+49y^(2)
{4x}^{2}-28xy+{49y}^{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
=
7
y
b=7y
b
=
7
y
.
(
2
x
)
2
−
2
(
2
x
)
(
7
y
)
+
(
7
y
)
2
{(2x)}^{2}-2(2x)(7y)+{(7y)}^{2}
(
2
x
)
2
−
2
(
2
x
)
(
7
y
)
+
(
7
y
)
2
2
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
.
(
2
x
−
7
y
)
2
{(2x-7y)}^{2}
(
2
x
−
7
y
)
2
Done
(2*x-7*y)^2
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