How do you factor #ay-yz+ax-xz#?

1 Answer
Jun 6, 2016

Answer:

#(x+y)(a-z)#

Explanation:

Factor by grouping. Sort the polynomial into two sections of two.

#overbrace(color(red)acolor(blue)ycolor(red)-color(blue)ycolor(red)z)^"Factor term from here"+overbrace(color(red)acolor(blue)xcolor(red)-color(blue)xcolor(red)z)^"Factor term from here"#

#=color(blue)y(color(red)(a-z))+color(blue)x(color(red)(a-z))#

Now, think of #(a-z)# as one term, and factor it from the #y# and the #x#.

#=(x+y)(a-z)#