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**Thompsonnn****Member**- Registered: 2017-08-01
- Posts: 21

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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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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**Thompsonnn****Member**- Registered: 2017-08-01
- Posts: 21

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

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

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**Thompsonnn****Member**- Registered: 2017-08-01
- Posts: 21

a would be 4 and b would be 16

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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 ?

**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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