Question

COMO EFETUAR AS OPERAÇÕES


a) (x+y)(x+2y)


b) (x²+x+3)(-x+3)


c) (8x²-4x+5)÷(x-2)

Answer 1

Boa noite!

Solução!


$a) ~~(x+y)\times(x+2y)\\\\ ~~~~~~( x^{2} +2xy+xy+2y^{2})= \boxed{Respostax^{2}+3xy+2y^{2} }\\\\\\\\\ b)~~ ( x^{2} +x+3)(-x+3)~\\\\\ ~~~~~~(- x^{3}+3 x^{2}- x^{2} +3x-3x+9)= \boxed{Resposta- x^{3}+2x^{2}- x^{2} +9 }$


No terceiro exercício vamos usar o método da chave.

$c)~~ \dfrac{8 x^{2}-4x+5 }{x-2} \\\\\\\ ~~~8 x^{2} -4x+5|\underline{~~x-2~~~~}~\\ \underline{-8 x^{2} +16x}~~~~~8x+12\\ ~~~0~~~~~~~12x+5\\ ~~~~~~~~~\underline{-12x+24}\\ ~~~~~~~~~~~~~0~~+29\\\\\\\\ D(x)=8 x^{2}-4x+5\\\\ d(x)=(x-2)\\\\ q(x)=(8x+12)\\\\ R(x)=29\\\\\ D(x)=d(x)\times q(x)+R(x)$

Boa noite!
Bons estudos!