Factorise: 36 – 225y^2
Answers
Answered by
0
Answer:
9
out of
36
x
2
−
225
y
2
.
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9
(
4
x
2
−
25
y
2
)
Rewrite
4
x
2
as
(
2
x
)
2
.
9
(
(
2
x
)
2
−
25
y
2
)
Rewrite
25
y
2
as
(
5
y
)
2
.
9
(
(
2
x
)
2
−
(
5
y
)
2
)
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
2
x
and
b
=
5
y
.
9
(
(
2
x
+
5
y
)
(
2
x
−
(
5
y
)
)
)
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