Question

Given this expression:
2
x
4
+
4
x
2
x
2

...which expressions below are equivalent?
Select ALL that apply.
Select all that apply
A
x
4

B
2
x
2
(
x
2
+
2
)
x
2

C
2
x
2
+
4

D
x
2
+
2

E
2
(
x
2
+
2
)

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Answer 1

Only B.

Reason: Factor 2x^4 + 4x^2 = 2x^2(x^2 + 2), which matches B. The others are not equal (for example, at x = 2 the original is 48 while C (and E) give 12, A gives 16, D gives 6).