Factorise 9x^2-1/100y^2
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1
9
x
2
−
100
y
2
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
100
y
2
Rewrite
100
y
2
as
(
10
y
)
2
.
(
3
x
)
2
−
(
10
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
=
3
x
and
b
=
10
y
.
(
3
x
+
10
y
)
(
3
x
−
(
10
y
)
)
Multiply
10
by
−
1
.
(
3
x
+
10
y
)
(
3
x
−
10
y
)
([)]|√>≥
789÷<≤
456/×∩∪
123-^π∞
0.,+%=
Cook
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