Which expression is equivalent to
x
6
−
4
x
4
+
3
x
2
5
x
2
? Assume that the denominator does not equal zero.
A.
5
(
x
4
−
4
x
2
+
3
)
B.
x
4
−
4
x
2
+
3
5
C.
x
4
−
4
x
2
+
3
D.
x
4
−
4
x
2
+
3
5
x
C.
The given expression is already simplified.
To simplify the expression, you can start by factoring out the common factor of x^2.
Given expression:
x^6 - 4x^4 + 3x^2 / 5x^2
Step 1: Factor out x^2:
x^2 (x^4 - 4x^2 + 3) / 5x^2
Step 2: Cancel out the common factors:
(x^4 - 4x^2 + 3) / 5
Therefore, the equivalent expression is:
C. x^4 - 4x^2 + 3