Question

*Fan & Medal to who ever helps*
What is the simplified form of -3z^2 (z + 2) -4(z^2 + 1)?
Please do NOT give me the answer explain to me how to get the answer my self

Answer 1

What do I need to do first in this?

Answer 2

in layman's terms.. break the bracket first..

Answer 3

like
\[-3z^2 (z+2) will be -3z^3 -6z^2\]

Answer 4

try it your self...
its easy..

Answer 5

How did you get that?

Answer 6

multiply (z+2) with -3z^2

1st step.. multiply z with z^2
you will get z^2+1 ie
Z^3


since both base are same (ie z) so power will be added

Answer 7

Sorry but I am still confused I worked it out and got -6z^3 - 4z^2 and that is not one of the answer choices

Answer 8

ok
Try again from basic you may be missing some thing while finding product

Answer 9

When I multiply it out I get -6z^3 - 4z^2 I don't know what I am doing wrong

Answer 10

write full how you got to this answer

Answer 11

For the first part -3z^2 (z + 2) I multiplied it and got -3z^3 * 2 and got -6z^3
For the second part -4 (z^2 + 1) I multiplied it and got -4z^2

Answer 12

no its wrong
you have to multiply -3z^2 with both z and 2
like this
\[-3z^2 \times z +-3z^2 \times 2= -3 z^3 +-6z^2\]
which further simplified as \[-3 z^3 -6z^2\]

Answer 13

Note this down : a(b+c) = ab + ac --> distributive property

Answer 14

Wouldn't you just make the problem more easier if you just multiply the parentheses ?

Answer 15

Yeah I'm right

Answer 16

Now see, we will break the expression in 2 parts :

\(-3z^2(z+2) \) + (\(-4(z^2+1)\) )

First solving for the first part : \(-3z^2(z+2)\)

Answer 17

Ok what I got now is -3z^3-6z^2-4z^2-4

Answer 18

Right! Good work.

Answer 19

Now you just have to simplify it further.

Answer 20

How can I do that?

Answer 21

See, we have to simplify those terms which are like that is which have same power of the variable. Can you name those terms?

Answer 22

I don't know sorry

Answer 23

no problem, see : x^2 and 3x^2 are called like terms because they have same power of the variable (x)

Similarly, in this expression : -3z^3-6z^2-4z^2-4 , we have two terms as the like terms : -6z^2 and -4z^2 as they both have same power of the variable z .

Answer 24

Yah but I cant add the exponent because the bases are different

Answer 25

yes but you can take the (z^2) as common : z^2(-6-4)

Answer 26

So its -10z^2?

Answer 27

So is the full answer -3z^3 - 10z^2 - 4?

Answer 28

Correct

Answer 29

Yay :)
Thnxs for all the help

Answer 30

You're very welcome :) , Good luck

Answer 31

Mission success

Answer 32

Haha #MissionAnswerTheQuest. Accomplished SIR! :D

Answer 33

really #Mission Success