Correct?

maximus maximus

Platinum Member
Oct 17, 2004
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Originally posted by: jeffeh
why -2ab though,.. thats not how we were taught

You were thought wrong.

Let me tell you why it it that way. (* = multiply okay)

(a-b) ^ 2
= (a - b) * (a -b)
= a^2 - b*a - a*b + b^2
= a^2 - a*b - a*b + b^2
= a^2 - 2*a*b + b^2

Hope that answers your question
 

maximus maximus

Platinum Member
Oct 17, 2004
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Let me also give you a tip. To verify any formula, substitute a couple of values both on the right hand side and the left hand side of the euqation to check it.

For example a = 4 and b = 1

Therefore left side of the equations is (a-b)^2 = (4-1)^2 = 3^ 2 = 9

Right side of the equation is a^2 - 2*a*b + b^ 2 = 4^2 - 2.4.1 + 1^ 2 = 16 - 8 + 1 = 9
 

simms

Diamond Member
Sep 21, 2001
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*slaps head* so this is what happened to the education system in Ontario after they got rid of OAC...
 

tikwanleap

Senior member
Oct 9, 1999
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They should have taught you "F.O.I.L.".

(A + B) * (C + D)

F.O.I.L

First = AC
Outside = AD
Inside = BC
Last = BD

(A + B) * (C + D) = AC + AD + BC + BD


 

talyn00

Golden Member
Oct 18, 2003
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Originally posted by: tikwanleap
They should have taught you "F.O.I.L.".

(A + B) * (C + D)

F.O.I.L

First = AC
Outside = AD
Inside = BC
Last = BD

(A + B) * (C + D) = AC + AD + BC + BD

so whats what FOIL stood for.... I used it all the time, just never really knew what it was.
 

jeffeh

Banned
Dec 8, 2004
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(4x-5)(2x+1) - 3(2x-1)^2
=(8x^2 + 4x - 10x -5) - 3(2x-1)(2x-1)
=(8x^2 + 4x - 10x -5) - 3(4x^2 - 2x - 2x + 1)
=(8x^2 + 4x - 10x -5) - 12x^2 + 6x +6x - 3
=8x^2 - 12x^2 + 4x +6x +6x -10x - 5-3
=-4x^2+6x-8

correct?
 

jeffeh

Banned
Dec 8, 2004
304
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tried to apply all the different stuff mentioned above into question 3)a) hopefully its correct
 

maximus maximus

Platinum Member
Oct 17, 2004
2,140
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Originally posted by: jeffeh
(4x-5)(2x+1) - 3(2x-1)^2
=(8x^2 + 4x - 10x -5) - 3(2x-1)(2x-1)
=(8x^2 + 4x - 10x -5) - 3(4x^2 - 2x - 2x + 1)
=(8x^2 + 4x - 10x -5) - 12x^2 + 6x +6x - 3
=8x^2 - 12x^2 + 4x +6x +6x -10x - 5-3
=-4x^2+6x-8

correct?

Correctamundo.