f(x) = 64x³ - 125
Multiply each term in the second factor by each term in the first factor
= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)
=64x³ + 80x² + 100x - 80x² - 100x - 125
= 64x³ - 125 ← difference of cubes
<h3>a) Never</h3>
{All angles of a rectangle are right}
<h3>b) Always</h3>
{all sides of a rhombus are the same, 4×13=52}
<h3>c) Always</h3>
{oposite angles of a paralleogram are congruent}
<h3>d) Never</h3>
{parallel sides has the same slope}
<h3>e) Always</h3>
{square has all sides of the same length, so it is rhombus}
<h3>f) Sometimes</h3>
{Only if it has angles of 90°}