Which of the following is the simplified form of 64x3−16x2+8x8x

Question

?(1 point)
Responses

8x2−2x+1
8 x squared minus 2 x plus 1

8x3−x2+1
8 x cubed minus x squared plus 1

64x3−16x2
64 x cubed minus 16 x squared

0

Answer 1

To simplify the expression \(64x^3 - 16x^2 + 8x8x\), let's first clarify what \(8x8x\) means. It can be interpreted as \(8x \cdot 8x = 64x^2\).

So, we start with:

\[ 64x^3 - 16x^2 + 64x^2 \]

Now, combine the like terms:

\[ 64x^3 + ( -16x^2 + 64x^2 ) = 64x^3 + 48x^2 \]

Since there are no further simplifications possible, the expression is now:

\[ 64x^3 + 48x^2 \]

None of the provided responses match this result. Let's look at them again:

1. \(8x^2 - 2x + 1\)
2. \(8x^3 - x^2 + 1\)
3. \(64x^3 - 16x^2\)
4. \(0\)

Based on the simplification we performed, the expression simplifies to \(64x^3 + 48x^2\), which does not correspond to any of the options provided.

Thus, none of the given responses are a correct simplification. If you need something else or further assistance, feel free to ask!