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Mathematics 18 Online
OpenStudy (anonymous):

(a + b - c)(a + b + c)

OpenStudy (jdoe0001):

noted

OpenStudy (freckles):

assuming you want to just multiply ((a+b)-c)*((a+b)+c) can you multiply just the following: (u-c)(u+c)

OpenStudy (ageta):

a^2+2ab+b^2−c^2

OpenStudy (sleepyjess):

@ageta Please do not just give out direct answers.

OpenStudy (ageta):

sorry

OpenStudy (anonymous):

I need to use the foil method but i dont know how to

OpenStudy (ageta):

(a+b−c)(a+b+c) =(a+b+−c)(a+b+c) =(a)(a)+(a)(b)+(a)(c)+(b)(a)+(b)(b)+(b)(c)+(−c)(a)+(−c)(b)+(−c)(c) =a^2+ab+ac+ab+b^2+bc−ac−bc−c^2 =a^2+2ab+b^2−c^2

OpenStudy (freckles):

multiply (u-c) and (u+c) first

OpenStudy (freckles):

\[(u-c)(u+c) \\ u^2-c^2 \\ u=a+b \\ (a+b)^2-c^2\]

OpenStudy (freckles):

now multiply the (a+b)^2 out

OpenStudy (freckles):

you will get the same result as someone else mentioned

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