Question

Simplify (x -3)(x + 7) using the table method, and identify the resulting

Answer 1

(x-3)(x+7) —> multiply them together I do it by FOIL which stands for Firsts Inners Outers Lasts

x’(squared)+7x-3x-21 —> simplify

x(squared)+4x-21

Answer 2

The simplified form of given expression is
`x^2+4x-21`.

Explanation:

The given expression is

`(x-3)(x+7)`

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

`x^2-3x+7x-21=x^2+4x-21`

Therefore the simplified form of given expression is
`x^2+4x-21`.