Multiply.
-$\left( 5 x + \frac { 1 } { 5 } \right) ^ { 2 }$
A) $25 x ^ { 2 } - \frac { 2 } { 5 } x - \frac { 1 } { 25 }$
B) $25 x ^ { 2 } - \frac { 1 } { 25 }$
C) $25 x ^ { 2 } + 2 x + \frac { 1 } { 25 }$
D)25 $25 x ^ { 2 } + 2 x$

Question

Quizplus · Accepted Answer

To square the given expression, use the formula $(a + b)^2 = a^2 + 2ab + b^2$. Here, $a = 5x$ and $b = \frac{1}{5}$, so $a^2 = (5x)^2 = 25x^2$, $2ab = 2 \cdot 5x \cdot \frac{1}{5} = 2x$, and $b^2 = \left(\frac{1}{5}\right)^2 = \frac{1}{25}$. Adding these together gives $25x^2 + 2x + \frac{1}{25}$.

Multiply - (5x+15)2\left( 5 x + \frac { 1 } { 5 } \right) ^ { 2 }(5x+51​)2

Multiply
- $\left( 5 x + \frac { 1 } { 5 } \right) ^ { 2 }$