Expand the Expression: (x+7)(x-9) with Step-by-Step Solution

In order to solve the following expression $(x+7)(x-3^2)$, we need to follow these steps:

• Step 1: Simplify $3^2$ to obtain 9. Thus, rewrite the expression as $(x+7)(x-9)$.

• Step 2: Apply the FOIL method to expand the expression:

Using the FOIL method, the expansion is as follows:

First: $x \times x = x^2$
Outer: $x \times -9 = -9x$
Inner: $7 \times x = 7x$
Last: $7 \times -9 = -63$

Combine these results together:

$x^2 - 9x + 7x - 63$

Step 3: Combine like terms:

The terms $-9x$ and $7x$ can be combined to yield the following $-2x$.

Thus, the expanded and simplified expression is:

$x^2 - 2x - 63$

Therefore, the final solution is:

$x^2 - 2x - 63$