SOLUTION: how would i solve this problem? or these types of problems? (3z+2)(z+4)

SOLUTION: how would i solve this problem? or these types of problems? (3z+2)(z+4) - (z+6)(z+4)

Question 332070: how would i solve this problem? or these types of problems?
(3z+2)(z+4) - (z+6)(z+4)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
how would i solve this problem? or these types of problems?
(3z+2)(z+4) - (z+6)(z+4)
:
FOIL these, but keep them in brackets
(3z^2 + 12z + 2z + 8) - (z^2 + 4z + 6z + 24)
:
which is
(3z^2 + 14z + 8) - (z^2 + 10z + 24)
;
Remove the brackets, but the negative dictates that you change the signs
3z^2 + 14z + 8 - z^2 - 10z - 24
:
Combine like terms
3z^2 - z^2 + 14z - 10z + 8 - 24
:
2z^2 + 4z - 16
:
Factor out 2
2(z^2 + 2z - 8)
:
Factors to
2(x+4)(x-2)
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