Multiply.
-$\left( 12 + \frac { 1 } { 10 } z \right) \left( 12 - \frac { 1 } { 10 } z \right)$
A) $144 - \frac { 12 } { 5 } z - \frac { 1 } { 100 } z ^ { 2 }$
B) $144 - \frac { 1 } { 100 } \mathrm { z } ^ { 2 }$
C) $144 + \frac { 12 } { 5 } z - \frac { 1 } { 100 } z ^ { 2 }$
D) $144 - \frac { 1 } { 5 } z ^ { 2 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = 12$ and $b = \frac{1}{10}z$, so the product simplifies to $144 - \frac{1}{100}z^2$.

Multiply - (12+110z)(12−110z)\left( 12 + \frac { 1 } { 10 } z \right) \left( 12 - \frac { 1 } { 10 } z \right)(12+101​z)(12−101​z)

Multiply
- $\left( 12 + \frac { 1 } { 10 } z \right) \left( 12 - \frac { 1 } { 10 } z \right)$