Mathematics
OpenStudy (anonymous):

simplify: (2n-6)^3

OpenStudy (karatechopper):

is it 8n^2-216?

OpenStudy (anonymous):

lols..how wood i noe? im asking it! i jus needa know how to do it :D

OpenStudy (karatechopper):

lol idk!!

OpenStudy (anonymous):

(-6+2 n)^3 = (-6+2 n) (-6+2 n)^2 = -6 (-6+2 n)^2+2 n (-6+2 n)^2 = -6 (-6+2 n)^2+2 n (-6+2 n) (-6+2 n) = -6 (-6+2 n)^2+2 n (-6 (-6+2 n)+2 n (-6+2 n)) = -6 (-6+2 n)^2+2 (n (-6) (-6+2 n)+n 2 n (-6+2 n)) = -6 (-6+2 n)^2+2 (-6 n (-6+2 n)+2 n n (-6+2 n)) = -6 (-6+2 n)^2+2 (-6 (n (-6)+n 2 n)+2 n (n (-6)+n 2 n)) = -6 (-6+2 n)^2+2 (-6 (-6 n+2 n n)+2 n (-6 n+2 n n)) = -6 (-6+2 n)^2+2 (-6 (-6 n+2 n n)+2 (n (-6) n+n 2 n n)) = -6 (-6+2 n)^2+2 (-6 (-6 n+2 n n)+2 (-6 n n+2 n n n)) = -6 (-6+2 n)^2+2 (-6) (-6 n+2 n n)+2 2 (-6 n n+2 n n n) = -6 (-6+2 n)^2-6 2 (-6 n+2 n n)+2 2 (-6 n n+2 n n n) = -6 (-6+2 n)^2-6 2 (-6) n-6 2 2 n n+2 2 (-6) n n+2 2 2 n n n = -6 (-6+2 n)^2-6 (-6) 2 n-6 2 2 n n-6 2 2 n n+2 2 2 n n n = -6 (-6+2 n)^2-6 (-6) 2 n+2 (-6) 2 2 n n+2 2 2 n n n = -6 (-6+2 n)^2-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6+2 n) (-6+2 n)-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6 (-6+2 n)+2 n (-6+2 n))-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6 (-6+2 n)+2 (n (-6)+n 2 n))-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6 (-6+2 n)+2 (-6 n+2 n n))-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6) (-6+2 n)-6 2 (-6 n+2 n n)-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6) (-6)-6 (-6) 2 n-6 2 (-6) n-6 2 2 n n-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6) (-6)-6 (-6) 2 n-6 (-6) 2 n-6 2 2 n n-6 (-6) 2 n-6 2 2 2 n n+2 2 2 n n n = -6 (-6) (-6)+3 (-6) (-6) 2 n-6 2 2 n n-6 2 2 2 n n+2 2 2 n n n = -6 (-6) (-6)-6 (-6) 2 3 n-6 2 2 n n-6 2 2 2 n n+2 2 2 n n n = (-6)^(1+1+1)+(-6)^(1+1) 2 3 n-6 2^(1+1) n^(1+1)-6 2^(1+1+1) n^(1+1)+2^(1+1+1) n^(1+1+1) = (-6)^(1+1+1)+2 3 (-6)^(1+1) n-6 2^(1+1) n^(1+1)-6 2^(1+1+1) n^(1+1)+2^(1+1+1) n^(1+1+1) = -216+2 3 36 n-6 4 n^2-6 8 n^2+8 n^3 = -216+6 36 n-24 n^2-48 n^2+8 n^3 = -216+216 n-24 n^2-48 n^2+8 n^3 = 8 n^3-72 n^2+216 n-216

OpenStudy (anonymous):

Hope u got it now :):)):):):):)

OpenStudy (karatechopper):

that was way over how i solved.....