Question

Please factor the following trinomial.
w^18 – 9w^9y^5 + 14y^10

Answer 1

factor is with GCF right?

Answer 2

yes I do believe

Answer 3

is there a space between – 9w^9y^5?

Answer 4

so it would be -9w^9 Y^5

Answer 5

\[w ^{18} - 9w ^{9}y ^{5} + 14y ^{10}\]

Answer 6

ok

Answer 7

\[w^{18} - 9w^9y^5 + 14y^{10}\]

So, let:
\[w^9 = x\]

So expression becomes:
\[x^2 - 9xy^5 + 14y^{10}\]

Now can you do factorization??

Answer 8

i think that you multiply the 2 outer #'s to get 14

Answer 9

and 7 times 2 is 14 and adds up to 9

Answer 10

Yes so these will be the factors... -7 and -2

Answer 11

can you do the rest?

Answer 12

I don't know where to begin with this.. I'm sorry. I just don't like this kind of math

Answer 13

\[x^2 - 7y^5.x - 2y^5.x + 14y^{10} = x(x - 7y^5) - 2y^5(x - 7y^5) = (x-2y^5)(x-7y^5)\]

Now put you know x = w^9

Put there to get the answer..

Answer 14

Ya hes right

Answer 15

thank you guys very much!

Answer 16

your very welcome

Answer 17

Welcome dear..