Question

SENDO A=X+5, B=x²+2X+1 E C=2x²-4, DETERMINE:


A) A.B



B)B.C



C) A.B.C


Agradeço Desde Já .

Answer 1

A) A*B

(X+5)*($X ^{2} +2X+1$) 

$x ^{3} +2X ^{2} +X+5X ^{2} +10X+5$
            
 $X ^{3} +7X ^{2} +11X+5$.


B) B*C

$(X ^{2} +2X+1) * (2X ^{2} -4)$

$2X^{4} -4X^{2} +4X ^{3} -8X+2X ^{2} -4$
       
  $2X ^{4} +4X ^{3} -2X ^{2} -8X-4$.


C)A*B*C

Pegue o resultado do A* B e multiplica pelo C :

$(X^{3} +7X ^{2} +11X+5)*(2X ^{2} -4)$

$2X^{5} -4X ^{3} +14X ^{4} -28X^{2} +22X^{3} -44X+10X^{2} -20$
                   
                   $2X^{5} +14X^{4} +18X^{3} -18X ^{2} -44X -20.$.