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\[36{x}^{2}-49{y}^{2}\]
+
−
.
ln
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log
≥
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log
x
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factor(36x^(2)-49y^(2))
factor 36x^(2)-49y^(2)
{36x}^{2}-{49y}^{2}
1
Rewrite it in the form
a
2
−
b
2
{a}^{2}-{b}^{2}
a
2
−
b
2
, where
a
=
6
x
a=6x
a
=
6
x
and
b
=
7
y
b=7y
b
=
7
y
.
(
6
x
)
2
−
(
7
y
)
2
{(6x)}^{2}-{(7y)}^{2}
(
6
x
)
2
−
(
7
y
)
2
2
Use
Difference of Squares
:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
{a}^{2}-{b}^{2}=(a+b)(a-b)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
.
(
6
x
+
7
y
)
(
6
x
−
7
y
)
(6x+7y)(6x-7y)
(
6
x
+
7
y
)
(
6
x
−
7
y
)
Done
(6*x+7*y)*(6*x-7*y)
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