Perform the indicated operation.
-$( 5 x + 3 ) ( 5 x + 12 )$
A) $25 x ^ { 2 } + 75 x + 36$
B) $10 x ^ { 2 } + 75 x + 36$
C) $10 x ^ { 2 } + 75 x + 75$
D) $25 x ^ { 2 } + 75 x + 75$

Question

Quizplus · Accepted Answer

To multiply the two binomials, use the distributive property (FOIL method): First terms ($5x \cdot 5x = 25x^2$), Outer terms ($5x \cdot 12 = 60x$), Inner terms ($3 \cdot 5x = 15x$), and Last terms ($3 \cdot 12 = 36$). Adding these together gives $25x^2 + 75x + 36$.

Perform the Indicated Operation (5x+3)(5x+12)( 5 x + 3 ) ( 5 x + 12 )(5x+3)(5x+12)

Perform the Indicated Operation $( 5 x + 3 ) ( 5 x + 12 )$