Evaluate the expression. $$\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }$$
A) $2 \frac { 2 } { 9 }$
B) $\frac { 1 } { 9 }$
C) $3 \frac { 2 } { 9 }$
D) $1 \frac { 2 } { 9 }$
E) $1 \frac { 1 } { 9 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\left(\frac{2}{3}\right)^2 + \left(\frac{4}{3}\right)^2 = \frac{4}{9} + \frac{16}{9} = \frac{20}{9} = 2 \frac{2}{9}$.

Evaluate the Expression (1−13)2+(1+13)2\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }(1−31​)2+(1+31​)2

Evaluate the Expression $\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }$