Question

Factor out the greatest common factor then simplify if possible (8z-3)(z+4)-(8z-3)(z-3)

Answer 1

I wonder... the greatest common factor is the factor that appears in both terms....
ab + ac
you factor it out like this
a(b + c)

Answer 2

\[(8z-3)(z+4)-(8z-3)(z-3) \]
\[(8 z^2+29 z-12) - (8 z^2-27 z+9)\]
\[(8 z^2+29 z-12) + (-8 z^2+27 z-9)\]
\[56z - 21\]

Answer 3

Instead of factoring I just foiled each side then subtracted and added.

Answer 4

cant 56z-21 be simplified?

Answer 5

Yeah it does, \[7 (8 z-3)\]

Answer 6

Factoring is easier?
(8z-3)(z+4)-(8z-3)(z-3)
(8z-3)[(z+4)-(z-3)]

Answer 7

the answer is 7(8z-3) correct or just 8z-3

Answer 8

It's the first.^
because you were asked to simplify.

Answer 9

ok

Answer 10

yeah it is 7(8z-3