Factor 9(x+y)^2 - (x-y)^2
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Algebra Examples
Popular Problems Algebra Factor 9-(x+y)^2
9
−
(
x
+
y
)
2
9-(x+y)2
Rewrite
9
9 as
3
2
32.
3
2
−
(
x
+
y
)
2
32-(x+y)2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a2-b2=(a+b)(a-b) where
a
=
3
a=3 and
b
=
x
+
y
b=x+y.
(
3
+
x
+
y
)
(
3
−
(
x
+
y
)
)
(3+x+y)(3-(x+y))
Apply the distributive property.
(
3
+
x
+
y
)
(
3
−
x
−
y
)
(3+x+y)(3-x-y)
Factor.
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(
3
+
x
+
y
)
⋅
−
1
(
x
+
y
−
3
)
(3+x+y)⋅-1(x+y-3)
Factor out negative.
−
(
(
3
+
x
+
y
)
(
x
+
y
−
3
)
)
-((3+x+y)(x+y-3))
Remove unnecessary parentheses.
−
(
3
+
x
+
y
)
(
x
+
y
−
3
)
-(3+x+y)(x+y-3)
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