Find the product.
-$$\left( 2 x + \frac { 1 } { 10 } \right) \left( 10 x - \frac { 1 } { 5 } \right)$$
A) $20 x ^ { 2 } - \frac { 7 } { 5 } x - \frac { 1 } { 50 }$
B) $20 x ^ { 2 } + \frac { 3 } { 5 } x - \frac { 1 } { 50 }$
C) $20 x ^ { 2 } + \frac { 3 } { 5 } x + \frac { 1 } { 50 }$
D) $20 x ^ { 2 } - \frac { 3 } { 5 } x + \frac { 1 } { 50 }$

Question

Quizplus · Accepted Answer

To find the product, we multiply each term in the first parenthesis by each term in the second parenthesis and then combine like terms. The multiplication is as follows: $2x \cdot 10x = 20x^2$, $2x \cdot -\frac{1}{5} = -\frac{2}{5}x$, $\frac{1}{10} \cdot 10x = x$, and $\frac{1}{10} \cdot -\frac{1}{5} = -\frac{1}{50}$. Combining like terms, we get $20x^2 + (-\frac{2}{5}x + x) - \frac{1}{50}$, which simplifies to $20x^2 + \frac{3}{5}x - \frac{1}{50}$.

Find the Product (2x+110)(10x−15)\left( 2 x + \frac { 1 } { 10 } \right) \left( 10 x - \frac { 1 } { 5 } \right)(2x+101​)(10x−51​)

Find the Product $\left( 2 x + \frac { 1 } { 10 } \right) \left( 10 x - \frac { 1 } { 5 } \right)$