Question

Find the difference of the two squares x2-49

Answer 1

It is (x - 7)(x + 7)

Explanation:

`{x}^(2) - 49 \\ = {x}^(2) - {7}^(2)`

from the "difference of two squares"

`( {a}^(2) - {b}^(2) ) = (a - b)(a + b)`

take;

a » x

b » 7

substitute:

`( {x}^(2) - {7}^(2) ) = (x - 7)(x + 7)`