factorise 144x^2-121y^2 using identities
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Answer:
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Step-by-step explanation:
144
x
2
−
121
y
2
Rewrite
144
x
2
as
(
12
x
)
2
.
(
12
x
)
2
−
121
y
2
Rewrite
121
y
2
as
(
11
y
)
2
.
(
12
x
)
2
−
(
11
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
=
12
x
and
b
=
11
y
.
(
12
x
+
11
y
)
(
12
x
−
(
11
y
)
)
Multiply
11
by
−
1
.
(
12
x
+
11
y
)
(
12
x
−
11
y
)
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