Question

Find the product and simplify your answer.
9a^2(-5a^3 + 5a - 5)

Answer 1

@amistre64 @BangkokGarrett @djcool31 @texaschic101 @mathmale

Answer 2

@hoblos

Answer 3

in general
a(b+c+d) = ab + ac + ad

also, (a^x)(a^y) = a^(x+y)

you must use these identities to solve your problem
try solving it and tell me what you get, if you are still confused i'll help you through

Answer 4

Yeah... I'm still confused lol... >.<

Answer 5

lets do the first step

9a^2(-5a^3 + 5a - 5) = 9a^2(-5a^3) + 9a^2(5a) + 9a^2(-5)

9a^2(-5a^3) =?
9a^2(5a) + ?
9a^2(-5) = ?

can you solve those ?

Answer 6

Do you multiply for the first one? So it'd be...

-45a^5?

Answer 7

correct
what about the other 2 ?

Answer 8

Uhm..

-45a^5
45a^2
-45a^2

?

Answer 9

check the second one again

Answer 10

OH!

-45a^5
45a^3
-45a^2

?

Answer 11

now it's correct , so add them up and you'll get the final answer

Answer 12

Ok.. uhh..

-45a^11

?

Answer 13

nope,
we got
9a^2(-5a^3 + 5a - 5) = -45a^5 + 45a^3 -45a^2

so now we must find the common factor between the 3 terms
do you know what a common factor is ?

Answer 14

No I do not .-.

Answer 15

the common factor is the factor found in all the terms
example:
xa + xb + xc
the common factor is x
so
xa + xb + xc = x(a+b+c)

Answer 16

Ok. So in this case the common factor is a?

Answer 17

first do you have choices for the question to choose from ?

Answer 18

No, you have to type it as a response =/.

Answer 19

ok so you can just keep it in the simple form
9a^2(-5a^3 + 5a - 5) = -45a^5 + 45a^3 -45a^2

Answer 20

So that's the final answer? O_o

Answer 21

yes it's -45a^5 + 45a^3 -45a^2

Answer 22

Thank you so much!! :)

Answer 23

any time! :)