Question

Разложите трехчлен 196n^10 - 140n^5 + 25 на множители

Answer 1

$displaystyle tt 196n^{10}-140n^5+25=14^2n^{2cdot5}-2cdot14n^5cdot5+5^2=\\ displaystyle tt =14^2cdot(n^5)^2-2cdot14n^5cdot5+5^2=(14n^5)^2-2cdot14n^5cdot5+5^2=\\ displaystyle tt =(14n^5-5)^2=bold{(14n^5-5)(14n^5-5)}$