Question

factor step by step factor 32x^6 – 162.

Answer 1

yay!

Answer 2

\[32x^6-162\]
factor out gcf
\[2(16x^6-81)\]

Answer 3

ok

Answer 4

ONE SEC

Answer 5

is that a perfect square?

Answer 6

its a difference of squares

Answer 7

o ok

Answer 8

so it is \[2(4x^3+9)(4x^3-9)\]

Answer 9

but notice we are not done

Answer 10

why not

Answer 11

well \[ 4x^2+9\] won't factor but the other will. Do you see it?

Answer 12

because its negitive

Answer 13

yes

Answer 14

ok so then what

Answer 15

it is another difference of squares try and factor it

Answer 16

2x+3)(2x-3

Answer 17

yep so all together it would be?

Answer 18

no idea

Answer 19

wait wait wait

Answer 20

you said 4x^2+9 instead of 4x^3 +9

Answer 21

crap

Answer 22

i blame the small writing

Answer 23

so what do i do after i get 4x^3-9

Answer 24

Over the rationals the answer is
\[
2 \left(4 x^3-9\right) \left(4
x^3+9\right)
\]

Answer 25

what are the factors

Answer 26

i wrote that

Answer 27

If you allow irrationals, we can factor further.

Answer 28

i just miss read myself later

Answer 29

true that

Answer 30

what are the factors

Answer 31

exactly what he wrote above

Answer 32

The factors are
\[
2\\ (-9 + 4 x^3) \\(9 + 4 x^3)
\]

Answer 33

3 factors?

Answer 34

yes

Answer 35

thats just the factored form?

Answer 36

yes

Answer 37

could you help me with another problom

Answer 38

close this problem and ask a new one.

Answer 39

eliassaab wants more medals

Answer 40

jkjk

Answer 41

opend a new one