Question

Express In Simplest Form
vvvv

Answer 1

\[45a ^{4}b ^{3} - 90a ^{3}b \div 15a ^{2}b\]

Answer 2

^ Express in Simplest Form

Answer 3

hint: factor out 15a^2b from the numerator

Answer 4

you mean denominator?

Answer 5

no the numerator

Answer 6

factor out 15a^2b from 45a^4b^3 - 90a^3b

Answer 7

but the 15a^2b^3 is in the denominator

Answer 8

oh okay

Answer 9

sorry im really confused

Answer 10

how so

Answer 11

would it be 15a^3b (45a^4b^3 - 90a^3b)

Answer 12

and then factor that?

Answer 13

yes but if you distribute 15a^3b (45a^4b^3 - 90a^3b), you won't get 45a^4b^3 - 90a^3b

Answer 14

you get 3ab^2-6

Answer 15

but im confused about what to do next

Answer 16

@jim_thompson5910

Answer 17

well once you factor out 15a^3b, you get

15a^3b(3ab^2-6)

in the numerator

Answer 18

the 15a^3b terms will then cancel (numerator and denominator pairing)

Answer 19

whats the denominator?

Answer 20

when you cancel out the 15a^3b term in the denominator, you'll be left with a 1 in the denominator

Answer 21

but anything over 1 is itself

ex: 10/1 = 10 or 22/1 = 22

Answer 22

so the final answer is just 3ab^2-6

Answer 23

no before you cancel out what is the equation thats what im confused about

Answer 24

oh wait...idk why i didn't catch this before, it's 15a^2b not 15a^3b

let me redo the whole thing, one sec

Answer 25

\[\large \frac{45a ^{4}b ^{3} - 90a ^{3}b}{15a ^{2}b}\]

\[\large \frac{15a^2b(3a^2b^{2} - 6a)}{15a ^{2}b}\]

\[\large \frac{\cancel{15a^2b}(3a^2b^{2} - 6a)}{\cancel{15a^2b}}\]

\[\large \frac{3a^2b^{2} - 6a}{1}\]

\[\large 3a^2b^{2} - 6a\]

Answer 26

ohh that makes sense!! THANK YOU SO MUCH FOR THE HELP!

Answer 27

you're welcome