Factor.
-$$x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }$$
A) $\left( x ^ { 2 } + \frac { 2 } { 3 } \right) ^ { 2 }$
B) $\left( x + \frac { 4 } { 3 } \right) \left( x + \frac { 2 } { 3 } \right)$
C) $\left( x + \frac { 2 } { 3 } \left( x + \frac { 2 } { 3 } x \right) \right.$
D) $\left( x + \frac { 2 } { 3 } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

The given expression is a perfect square trinomial. It can be factored into the square of a binomial, which matches option D: $\left( x + \frac { 2 } { 3 } \right) ^ { 2 }$. This is because the square of $\frac{2}{3}$ gives $\frac{4}{9}$ and $2 \cdot x \cdot \frac{2}{3} = \frac{4}{3}x$, matching the middle term of the original expression.

Factor - x2+43x+49x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }x2+34​x+94​

Factor
- $x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }$