Question

Multiply (d + 4) (d - 4)

Answer 1

`d^(2)` - 16.

Explanation:

To solve for the product of (d + 4) and (d - 4), we can use the FOIL method.

What does 'FOIL' Stand for?

• First
• Outer
• Inner
• Last

This means we multiply the first terms, then the outer, then the inner, and finally the last terms, then we add all the products together.

So, (d + 4) (d - 4) can be expanded like this:

• First: d × d =
  `d^(2)`
• Outer: d × -4 = -4d
• Inner: 4 × d = 4d
• Last: 4 × -4 = -16

Adding all of them together, we get:
`d^(2)` - 4d + 4d - 16, which simplifies to
`d^(2)` - 16.

Therefore, (d + 4)(d - 4) =
`d^(2)` - 16.