factorise
a^4 - b^4
Answers
Answered by
1
Answer:
=
(
a
2
+
b
2
)
(
a
+
b
)
(
a
−
b
)
Explanation:
In algebra, there is a formula known as the Difference of two squares:
(
a
2
−
b
2
)
=
(
a
+
b
)
(
a
−
b
)
In the case of
a
4
−
b
4
, you'll see that
a
4
is just
(
a
2
)
2
and
b
4
is just
(
b
2
)
2
:
a
4
−
b
4
=
(
a
2
)
2
−
(
b
2
)
2
=
(
a
2
+
b
2
)
(
a
2
−
b
2
)
But as you can see, we can use the formula again:
=
(
a
2
+
b
2
)
(
a
+
b
)
(
a
−
b
)
And this is the final answer
Answered by
1
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