Mathematics
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OpenStudy (anonymous):
Factor the following trinomial.
w^18 – 9w^9y^5 + 14y^10
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OpenStudy (shayaan_mustafa):
Hi chadandticia_2009 :)
How are you dear?
OpenStudy (anonymous):
fine u
OpenStudy (shayaan_mustafa):
your question look like this?
\[\Large w^{18}-9w^9y^5+14y^{10}\]
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
can you help me?
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OpenStudy (anonymous):
someone please help?
OpenStudy (shayaan_mustafa):
I am also fine dear.
OpenStudy (shayaan_mustafa):
Do you know this formula,
\[\Large (\text{a-b})^2=\text{a}^2-2ab+\text{b}^2\]
OpenStudy (anonymous):
yes how do I do it?
OpenStudy (anonymous):
someone please help??????
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OpenStudy (anonymous):
So I know how I can help, is this multiple choice or a fill in answer?
OpenStudy (anonymous):
fill in the answer.
OpenStudy (anonymous):
Alright. First, find factors of 14 that add up to -9.
OpenStudy (anonymous):
-23+14=-9
OpenStudy (anonymous):
Um, -23 and 14 don't multiply to form 14.
Here are all the possible factors. Pair them up so that they add up to -9.
-1, -2, -7, -14, 1, 2, 7, 14
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OpenStudy (anonymous):
-2+ -7
OpenStudy (anonymous):
Ok. Then, you have to remember how factoring works.
\[(w^{9} + factor1(y^{5}))(w^{9} + factor2(y^{5}))\]Can you finish it?
OpenStudy (anonymous):
no still confused
OpenStudy (anonymous):
(w^9+ -2y^5)(w^9+ -7y^5)
OpenStudy (anonymous):
Pretty much.
\[(w^{9} - 2y^{5})(w^{9} - 7y^{5})\]
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OpenStudy (anonymous):
is that the final answer?