Factor.
-$$x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 }$$
A) $\left( x + \frac { 4 } { 5 } \right) \left( x + \frac { 2 } { 5 } \right)$
B) $\left( x + \frac { 2 } { 5 } \right) \left( x + \frac { 2 } { 5 } x \right)$
C) $\left( x ^ { 2 } + \frac { 2 } { 5 } \right) ^ { 2 }$
D) $\left( x + \frac { 2 } { 5 } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

We can begin by looking for two numbers that multiply to $\frac{4}{25}$ and add up to $\frac{4}{5}$. It is clear that these two numbers are $\frac{2}{5}$ and $\frac{2}{5}$. Therefore, we can factor the expression as $\left(x+\frac{2}{5}ight)^2$. The only answer choice that matches this is $\boxed{	extbf{(D)}}$.

Factor - x2+45x+425x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 }x2+54​x+254​

Factor
- $x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 }$