Question

Which expression is equivalent to 16(30x−24y)−18(32x−16y)16(30x-24y)-18(32x-16y)?

Answer 1

The given expression is 
16(30x−24y)−18(32x−16y) = ?


The first term       = 16 ( 30x - 24y ) =  480x - 384y
The second term = -18 ( 32x - 16y) = -576x + 288y

Add the two terms:
( 480x - 384y ) + ( -576x + 288y)
= ( 480x - 576x) + ( -384y + 288y)
= -96x -96y 
= -96 ( x + y)

The equivalent expression is [-96x -96y]  OR  -96(x+y)