Which of the following is a facator of 4by-3bz+8dy-6dz?

a)4by-3bz
b)b+d
c)4y-3z
d)4b+3d

1 answer

4 b y - 3 b z + 8 d y - 6 d z =

y ( 4 b + 8 d ) + z ( - 3 b - 6 d ) =

y [ ( 4 ( b + 2 d ) ] + z [ ( - 3 ) ( b + 2 d ) ] =

4 y ( b + 2 d ) - 3 z ( b + 2 d) =

( b + 2 d ) ( 4 y - 3 z )

Answer c)