Question

В1. Представьте в виде многочлена выражение (m3 + m2 + m + 1)(m – 1)

Answer 1

$( {m}^{3} + {m}^{2} + m + 1)(m - 1) = ( {m}^{2} (m + 1) + m + 1)(m - 1) = ( {m}^{2} + 1)(m + 1)(m - 1) = ( {m}^{2} + 1)( {m}^{2} - 1) = {m}^{4} - 1$

Answer 2

(m3+m2+m+1)(m-1) =

= (m4-m3+m3-m2+m2-m+m-1) =

= m4-m3+m3-m2+m2-m+m-1 =

= m4 – 1