Perform the indicated operations and simplify. $( 2 u - v ) ( 2 u + v )$
A) $4 u ^ { 2 } - v ^ { 2 }$
B) $8 u ^ { 2 } + 4 v ^ { 2 }$
C) $16 u ^ { 2 } + 4 v ^ { 2 }$
D) $16 u ^ { 2 } + 2 v ^ { 2 }$
E) $16 u ^ { 2 } - 4 v ^ { 2 }$

Question

Quizplus · Accepted Answer

This is a difference of squares problem, which follows the formula $a^2 - b^2 = (a - b)(a + b)$. Applying this to $(2u - v)(2u + v)$ gives $4u^2 - v^2$.

Perform the Indicated Operations and Simplify (2u−v)(2u+v)( 2 u - v ) ( 2 u + v )(2u−v)(2u+v)

Perform the Indicated Operations and Simplify $( 2 u - v ) ( 2 u + v )$