write the factors of (25)^2-(16)^2
Answers
Answered by
2
Step-by-step explanation:
The answer is:
(
4
x
−
5
)
(
4
x
+
5
)
.
This polynomial is a difference of squares, and there is this formula to factor:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
.
Answered by
0
Answer:
Rewrite
16
x
2
as
(
4
x
)
2
.
(
4
x
)
2
−
25
Rewrite
25
as
5
2
.
(
4
x
)
2
−
5
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
4
x
and
b
=
5
.
(
4
x
+
5
)
(
4
x
−
5
)
([)]|√>≥
789÷<≤
456/×∩∪
123-^π∞
0.,+%=
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