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#1 2017-09-05 23:29:06

Thompsonnn
Member
Registered: 2017-08-01
Posts: 19

Review

Simplify (5x4 – 3x2 + 7x – 10) – (2x4 – 3x3 + 6x – 17)

Factor 4x6 – 16x2 using the difference of squares method. Be sure to factor completely and show your work. If this is not possible for some reason, state why.

Factor x2 + 9 using any method you choose. Show your work. If this is not possible for some reason, state why

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#2 2017-09-05 23:33:46

zetafunc
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Registered: 2014-05-21
Posts: 2,100
Website

Re: Review

Let's look at the first problem. The easiest thing to do is to get rid of the brackets and then collect all the terms which have the same powers together, like this:

and from there, you can simplify.

For the second question, the difference of squares method says that you can factorise
as
. We want to try and write
in the form
. Do you have any ideas for how we could choose
and
?

What do you think about the third question?

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#3 2017-09-13 01:27:44

Thompsonnn
Member
Registered: 2017-08-01
Posts: 19

Re: Review

a would be 4x^6 and b would be 16x^2?

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#4 2017-09-13 07:39:36

zetafunc
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Registered: 2014-05-21
Posts: 2,100
Website

Re: Review

would be
, and
would be
. What could
and
be, then?

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#5 2017-09-14 07:13:53

Thompsonnn
Member
Registered: 2017-08-01
Posts: 19

Re: Review

a would be 4 and b would be 16

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#6 2017-09-14 18:04:27

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,100
Website

Re: Review

Not quite -- if
were 4, then you'd have
You want
so there should be an
appearing somewhere in your answer. For example, what expression, when squared, gives you
?

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