Question

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Answer 1

Explicação passo-a-passo:

A . B - B . C

    $x.(x^{3}-x^{2})-(x^{3}-x^{2}).(x^{2}+1)$=

    $(x^{1+3}-x^{1+2})-(x^{3+2}+x^{3}.1-x^{2+2}-x^{2}.1)$=

    $(x^{4}-x^{3})-(x^{5}+x^{3}-x^{4}-x^{2})$=

    $x^{4}-x^{3}-x^{5}-x^{3}+x^{4}+x^{2}$=

    $-x^{5}+2x^{4}-2x^{3}+x^{2}$

                ________________________________________

A . B

    $x.(x^{3}-x^{2})$=

    $x^{1+3}-x^{1+2}$=

    $x^{4}-x^{3}$

                ________________________________________

B . C

    $(x^{3}-x^{2}).(x^{2}+1)$=

    $x^{3+2}+x^{3}.1-x^{2+2}-x^{2}.1$=

    $x^{5}+x^{3}-x^{4}-x^{2}$=

    $x^{5}-x^{4}+x^{3}-x^{2}$

                ________________________________________

C . C  ou  C²

    $(x^{2}+1).(x^{2}+1)$=

    $x^{2+2}+x^{2}.1+1.x^{2}+1.1$=

    $x^{4}+x^{2}+x^{2}+1$=

    $x^{4}+2x^{2}+1$