plz factorize
(1) x^4 + 4
(ii) x^4 - 8x^2 + 16
Answers
Answered by
3
Answer:
(x2−4)2. Explanation: Let u=x2. You have x4 −8x2+16 .
Step-by-step explanation:
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Answered by
1
u
.
Let
u
=
x
2
You have
x
4
−
8
x
2
+
16
.
This is equivalent to
(
x
2
)
2
−
8
x
2
+
16
.
You can now plug in
u
wherever
x
2
is.
You get
u
2
−
8
u
+
16
.
Now, you can factor this like a normal polynomial.
(
u
−
4
)
(
u
−
4
)
or
(
u
−
4
)
2
.
Finally, you plug in
u
back into the expression.
The factored form will be
(
x
2
−
4
)
2
.
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