Question

Преобразуйте выражение в многочлен (a-6)(a+6)+(a-6)^2+10a 4m^3-4(m+2)(4-2m+m^2)

Answer 1

(a-6)(a+6)+(a-6)ˇ2+10a=(aˇ2-36)+(aˇ2-12a+36)+10a=
=aˇ2-36+aˇ2-12a+36+10a=2aˇ2-2a=2a(a-1)
4mˇ3-4(m+2)(4-2m+mˇ2)=
=4mˇ3-4(4m-2mˇ2+mˇ3+8-8m+8mˇ2)=
=4mˇ3-4(mˇ3+6mˇ2-4m+8)=4mˇ3-4mˇ3-24mˇ2+8m-32=
=-24mˇ2+8m-32=-8(3mˇ2-m+4)