Question

Разложите на множители :
a)m^3 - m^2 - 9m - 9 =
b)4t^2 - (t - 5)^2 =

Answer 1

$4t^2-(t-5)^2=(2t)^2-(t-5)^2=(2t-t+5)(2t+t-5)=\ =(t+5)(3t-5)\ \ m^3-m^2-9m+9=(m^3-9m)-m^2+9=m(m^2-9)-(m^2-9)=\ =(m^2-9)(m-1)=(m-3)(m+3)(m-1)$