Question

\Drag the correct expressions to the table. Not all expressions will be used. Simplify (x − 3)(x + 7) using the table method, and identify the resulting expression in standard form. x 7x x2 + 4x − 21 -21 x2 + 10x + 21 -3x -21x 2x2 x2 -7 x2 − 7x − 21 21

Answer 1

The standard form of the expression is $x^{2} +4x-21$

Explanation:

The given expression is $(x-3)(x+7)$

We need to find the resulting expression in standard form using the table method.

Using table method, let us multiply each term within the bracket.

The image of the table attached below contains the values of the expression by multiplying each term.

Thus, adding the values from the table, we have,

$x^{2} -3x+7x-21$

Adding the like terms, we have,

$x^{2} +4x-21$

Hence, the standard form of the expression is $x^{2} +4x-21$