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Mathematics 13 Online
OpenStudy (anonymous):

5x(x^2+7x-4)

OpenStudy (amistre64):

do you know what distributing is?

OpenStudy (anonymous):

no

OpenStudy (amistre64):

then lets do a simple example: we know that 3(8) = 24 right?

OpenStudy (anonymous):

yeaa

OpenStudy (amistre64):

then: 3(6+2) should equal 24 also right?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

good: what we are going to do then is "distribute" the 3 thru the (6+2) like this: 3(6) + 3(2) = 24 18 + 6 = 24 24 = 24. did you see what I did?

OpenStudy (anonymous):

yes i understand that but i dont understand it when it has exponets and letters

OpenStudy (amistre64):

fair enough..... those are simple rules as well..but lets use your problem: 5x(x^2+7x-4) 5x(x^2) + 5x(7x) + 5x(-4) 5xxx + 35xx + -20x 5x^3 + 35x^2 - 20x did you see what happened? with the x's?

OpenStudy (amistre64):

x^2 means you have 2 little x's x^2 = xx x^5 = xxxxx x^9 = xxxxxxxxx

OpenStudy (amistre64):

when we multiply "letters" we just tack on another one: xx time xxx = xxxxx x^2 times x^3 = x^5

OpenStudy (anonymous):

okk

OpenStudy (amistre64):

easy as ....pi :)

OpenStudy (anonymous):

can you help me with a dividing one?

OpenStudy (amistre64):

i can try...

OpenStudy (anonymous):

5x3 +10x2 +20x/5x

OpenStudy (amistre64):

is that 5x on the end the denominator for ALL of them? or just for the last one?

OpenStudy (anonymous):

for all

OpenStudy (amistre64):

ok.... for this we need to remember that anything over itself can be "canceled" out..... actually it turns to 1. lets do the first term: 5xxx ----- anything that is the same can be canceled 5x take off a 5x from top and bottom to get: [5x]xx xx = x^2 does that makes sense? ------ = [5x]

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

2nd term: 10xx ----- what can we do to this one? 5x

OpenStudy (anonymous):

is it gunna be 2x?

OpenStudy (amistre64):

very good :)

OpenStudy (amistre64):

and the last one? 20x ------ 5x

OpenStudy (anonymous):

4x?

OpenStudy (amistre64):

4 is right, but we can cancel out an x from top and an x from bottom, so the answer becomes just: 4 do you see that?

OpenStudy (anonymous):

yea i wasnt sure but i see it now

OpenStudy (amistre64):

good job :) with practice youlll be better than me :)

OpenStudy (anonymous):

haha thank you

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