Factor the following expression SHOW ALL WORK

x(7x - 4)(x² + 4)

Step-by-step explanation:

We notice that all four terms share at least one x, so we can definitely factor that out. When we do, we're left with:

x * (7x³ - 4x² + 28x - 16)

The first two terms within the parentheses (7x³ and -4x²) share and x² term, so factor that out:

x * [x² * (7x - 4) + 28x - 16]

Now, notice that the last two terms within the parentheses (28x and -16) share a factor of 4, so we can factor that out, as well:

x * [x² * (7x - 4) + 4 * (7x - 4)]

Finally, we realize that the two big terms within the parentheses share (7x - 4), so we can factor that, too:

x * [(7x - 4) * (x² + 4)]

The final factored expression is:

x(7x - 4)(x² + 4)

the diameter is 16 cm. are you a teacher?

step-by-step explanation: