Question

УПРОСТИТЕ ВЫРАЖЕНИЕ

3n(8-2n)+(4+n)(4-n)=

Answer 1

$3n cdot (8-2n)+(4+n)cdot(4-n)=24n - 6n^2+(16-n^2)=\=24n - 6n^2+16-n^2=-7n^2+24n + 16 \ n_{1,2}= frac{-12 pm sqrt{144 + 112} }{-7} = frac{-12 pm 16}{-7}; ; ; left { {{n_{1}=- frac{4}{7} } atop {n_{2}=4}} right. \ a cdot (n-n_{1}) cdot (n-n_{2}); ; ; ; ; -7 cdot (n+ frac{4}{7}) cdot (n-4)=(-7n-4) cdot(n-4)=\=(4-n)cdot(7n+4)$