Multiply out and collect like terms

**ForsakenSorceress** · March 24th 2010, 04:00 PM

Hi guys, im having a little trouble with an excersie sheet i was given for homework, the whole page consists of questions like this one and if someone could explain just how one is done to me, id be able to finish it on my own

The questions go like this: Multiply out and collect like terms.

(1-2x+3x^2)(4-5x+6x^2)

im sorry if i sound stupid but i only know how to do 2 sets of values in each bracket and one value in each bracket is an x term... these ones are the next step up and i find them really difficult

**pickslides** · March 24th 2010, 04:17 PM

$<br /> (a+b+c)(d+e+f) = a(d+e+f)+b(d+e+f)+c(d+e+f)=$ $ad+ae+af+bd+be+bf+cd+ce+cf<br />$

**harish21** · March 24th 2010, 04:19 PM

Originally Posted by ForsakenSorceress

Hi guys, im having a little trouble with an excersie sheet i was given for homework, the whole page consists of questions like this one and if someone could explain just how one is done to me, id be able to finish it on my own

The questions go like this: Multiply out and collect like terms.

(1-2x+3x^2)(4-5x+6x^2)

im sorry if i sound stupid but i only know how to do 2 sets of values in each bracket and one value in each bracket is an x term... these ones are the next step up and i find them really difficult

$(1-2x+3{x^2})(4-5x+6{x^2})$

= $1(4) -1(5x) + 1(6x^2) -2x(4) -2x(-5x) -2x(6x^2) + 3{x^2}(4) + 3{x^2}(-5x) + 3{x^2}(6{x^2})$

= $4 -5x + 6{x^2} -8x +10{x^2} - 12{x^3} + 12{x^2} - 15{x^3} + 18{x^4}$

= $4 - 13x + 28{x^2} - 27{x^3} + 18{x^4}$

**ForsakenSorceress** · March 24th 2010, 04:33 PM

Thank you very much for your help guys, it makes a little sense to me now but with one working example i think i can manage to do the rest of the paper

mods/admins feel free to close/delete this thread or whatever it is thats done to keep the forum tidy

*thanked all repliers*

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