Question

factor the following binomial.

\\49x^2 - 144\\

\\((?x + \quad)(\quadx - \quad)\\)

Explanation:

Identify the binomial structure

Using the Difference of Squares knowledge point

$$ 49x^2 - 144 = (7x)^2 - (12)^2 $$

Apply the factoring formula

Using the Difference of Squares knowledge point

$$ a^2 - b^2 = (a + b)(a - b) $$

$$ (7x)^2 - (12)^2 = (7x + 12)(7x - 12) $$

Determine the missing values

Using the Difference of Squares knowledge point

$$ ([7]x + [12])([7]x - [12]) $$

Answer:

Factor the following binomial.

\(49x^2 - 144\)

(<blank>7</blank>\(x +\) <blank>12</blank>)(<blank>7</blank>\(x -\) <blank>12</blank>)