Perform the indicated operation: $( 9 x - 5 y ) ( 2 x + 6 y )$
A) $18 x ^ { 2 } - 44 x y - 30 y ^ { 2 }$
B) $18 x ^ { 2 } - 30 y ^ { 2 }$
C) $18 x ^ { 2 } + 44 x y - 30 y ^ { 2 }$
D) $18 x ^ { 2 } + 44 x y - 30 y$

Question

Quizplus · Accepted Answer

To multiply two binomials, we use the distributive property of multiplication. 
$$\begin{aligned} ( 9 x - 5 y ) ( 2 x + 6 y ) & = 9 x \cdot 2 x + 9 x \cdot 6 y - 5 y \cdot 2 x - 5 y \cdot 6 y \ & = 18 x ^ { 2 } + 54 x y - 10 x y - 30 y ^ { 2 } \ & = 18 x ^ { 2 } + 44 x y - 30 y ^ { 2 }\end{aligned}$$
Therefore, the answer is choice C.

Perform the Indicated Operation (9x−5y)(2x+6y)( 9 x - 5 y ) ( 2 x + 6 y )(9x−5y)(2x+6y)

Perform the Indicated Operation $( 9 x - 5 y ) ( 2 x + 6 y )$