x⁴ - 81
factorise the expression
plz answer correctly
Answers
Answered by
0
Answer:
Rewrite
x
4
as
(
x
2
)
2
.
(
x
2
)
2
−
81
Rewrite
81
as
9
2
.
(
x
2
)
2
−
9
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
2
and
b
=
9
.
(
x
2
+
9
)
(
x
2
−
9
)
Simplify.
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(
x
2
+
9
)
(
x
+
3
)
(
x
−
3
)
Answered by
10
Step-by-step explanation:
x⁴ - 81
(x^2)^2 - 9^2
(x^2 - 9) ( x^2 + 9)
{ ( x)^2 - 3^2 } ( x^2 + 9)
(x - 3) ( x+ 3) ( x^2 + 9)
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