Question

Wykonaj mnozenie i zredukuj wyrazy podobne .

a) (x+1)(x²-x+1) =

b) (s-2)(s do 3 - s do 2 +s -1) =

c) (ab+1)(a+b+ab+1) =

d) (m+nm+n do 2)(m2 +nm+n) =

to n do 2 to potega :)

Answer 1

a) x3-x²+x+x²-x+1=x3+1

b)s4-s3+s²-s-2s3+2s²-2s+2=s4-3s3+3s²+2

c) a2a+ab2+a2b2+ab+a+b+ab+1=a2b+ab2+a2b2+2ab+a+b+1

d)m3+nm2+mn+nm3+n2m2+n2m+n2m2+n3m+n3=m3+nm2+mn+nm3+2n2m2+n2m+n3m+n3

Answer 2

a)(x+1)(x²-x+1) = x3 + x2 - x2 - x + x+1=x3+1

b) (s-2)(s do 3 - s do 2 +s -1) = s4 -s3+s2-s-2s3+2s2-2s+2=s4 -3s3+ 3s2-3s+2

c) (ab+1)(a+b+ab+1) =a2b+ ab2+a2b2+ab+a+b+ab+1=a2b+ab2+a2b2+2ab+a+b+1

d) (m+nm+n do 2)(m2 +nm+n) =m3+n2m2+m2n2+nm2+n2m2+n2m+mn+n2m+n3=

=m3+3n2m2+nm2+2n2m+mn+n3