Question

упростите выражения:

а) (c-2)(c+3)-(c-1)=

б) 3(a+c)^2-6ac=

в) (p-3)(p^2+3p+9)-p^3=

Answer 1

$(c-2)(c+3)-(c-1)=c^2-2c+3c-6-c+1=c^2-5$

 

 

$3(a+c)^2-6ac=3(a^2+2ac+c^2)-6ac=3a^2+6ac+3c^2-6ac=3a^2+3c^2;$

 

 

$(p-3)(p^2+3p+9)-p^3=p^3-3^3-p^3=p^3-27-p^3=-27$