__More Combining Like Terms__

Alright...so now I teach some very useful properties...

__Distributive Property: __The number
outside the parentheses gets multiplied by every number within

**a(b + c) = ab + ac**

**a(b - c) = ab - ac**

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In exponents:

**a ^{0} = 1**

**a ^{m }* a^{n} = a^{m + n}**

**a ^{m} / a^{n} = a^{m-n}**

**a ^{-m} = 1/a^{m}**

Man, that's a lot of rules....I'm sorry if you want practice with any of this stuff, I can't really help you - I'm not good at making up those practice problems....

So...more with like terms. Knowing what we know now....simplify:

**x ^{2}(3x - 2) + 5**

Ok...

Using the properties above...

**x ^{2}(3x) + x^{2}(-2) + 5**

REMEMBER: If the term has no exponent, it is assumed to be a 1

**3x ^{3} - 2x^{2} + 5**

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