Factorise: 16t² - 25
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Answer: Rewrite
25
25
as
5
2
5
2
.
5
2
−
16
t
2
5
2
-
16
t
2
Rewrite
16
t
2
16
t
2
as
(
4
t
)
2
(
4
t
)
2
.
5
2
−
(
4
t
)
2
5
2
-
(
4
t
)
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
5
a
=
5
and
b
=
4
t
b
=
4
t
.
(
5
+
4
t
)
(
5
−
(
4
t
)
)
(
5
+
4
t
)
(
5
-
(
4
t
)
)
Multiply
4
4
by
−
1
-
1
.
(
5
+
4
t
)
(
5
−
4
t
)
Step-by-step explanation:
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