Which product will result in a sum or difference of cubes? (x + 7)(x2 – 7x + 14) (x + 8)(x2 + 8x + 64) (x – 9)(x2 + 9x + 81) (x – 10)(x2 – 10x + 100)

Option 3)

Step-by-step explanation:

We use the identities:

1.

It is not a sum or difference of cubes because it does not satisfies the identity.

2.

It is not a sum or difference of cubes because it does not satisfies the identity.

3.

Thus, it can be expressed as a difference of cubes.

4.

It is not a sum or difference of cubes because it does not satisfies the identity.

Step-by-step explanation:

Given

Required

Solve the triangle

We have:

--- angles in a triangle

Substitute known values

So, we have:

To solve for the sides, we make use of sine rule:

So, we have:

Solving for (a), we have:

Make (a) the subject

To solve for (c), we have:

Make (c) the subject