Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) a
factor out the greatest common factor (gcf): $64d^5 - 32d^2$
$\circ$ $32d(2d^4 - d)$
$\circ$ $32d^2(2d^3 - 1)$
$\circ$ $32d^2 \cdot 2d^3 - 32d^2$
$\circ$ $8d(8d^4 - 4d)$

Explanation:

Step1: Find GCF of coefficients

The coefficients are 64 and 32. The GCF of 64 and 32 is 32.

Step2: Find GCF of variables

For \(d^5\) and \(d^2\), the GCF is \(d^2\) (since we take the lowest power of \(d\)).

Step3: Factor out GCF

Factor out \(32d^2\) from \(64d^5 - 32d^2\):
\(64d^5 - 32d^2 = 32d^2 \times 2d^3 - 32d^2 \times 1 = 32d^2(2d^3 - 1)\)

Answer:

B. \(32d^2(2d^3 - 1)\)