Use a special product formula to find the product. $( 0.1 x + 0.4 ) ( 0.1 x - 0.4 )$
A) $0.01 x ^ { 2 } - 0.16$
B) $0.01 x ^ { 2 } - 0.08 x + 0.16$
C) $0.01 x ^ { 2 } + 0.16$
D) $0.01 x ^ { 2 } + 0.08 x - 0.16$
E) $0.01 x ^ { 2 } - 0.04 x + 0.16$

Question

Quizplus · Accepted Answer

Using the special product formula $(a+b)(a-b)=a^2-b^2$, we have 
\begin{align*}
(0.1x+0.4)(0.1x-0.4)&=(0.1x)^2-(0.4)^2\
&=0.01x^2-0.16
\end{align*}
Thus, the correct choice is A.

Use a Special Product Formula to Find the Product (0.1x+0.4)(0.1x−0.4)( 0.1 x + 0.4 ) ( 0.1 x - 0.4 )(0.1x+0.4)(0.1x−0.4)

Use a Special Product Formula to Find the Product $( 0.1 x + 0.4 ) ( 0.1 x - 0.4 )$