Multiply.
-$$\left( x + \frac { 1 } { 9 } \right) \left( x - \frac { 1 } { 9 } \right)$$
A) $x ^ { 2 } - \frac { 2 } { 9 } x - \frac { 1 } { 81 }$
B) $x ^ { 2 } + \frac { 2 } { 9 } x - \frac { 1 } { 81 }$
C) $x ^ { 2 } - 1$
D) $x ^ { 2 } - \frac { 1 } { 81 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$, with $a = x$ and $b = \frac{1}{9}$, resulting in $x^2 - \left(\frac{1}{9}\right)^2 = x^2 - \frac{1}{81}$.

Multiply - (x+19)(x−19)\left( x + \frac { 1 } { 9 } \right) \left( x - \frac { 1 } { 9 } \right)(x+91​)(x−91​)

Multiply
- $\left( x + \frac { 1 } { 9 } \right) \left( x - \frac { 1 } { 9 } \right)$