Question

☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️1 Escreva cada polinômio na sua forma reduzida: ( A imagem tá aq em cima​​

Answer 1

Explicação passo-a-passo:

a) $\sf x^2y-7+3xy-x^2y+xy+8$

$\sf =x^2y-x^2y+3xy+xy-7+8$

$\sf =4xy+1$

b) $\sf x\cdot(x^2-x)+4x^2-x^3$

$\sf =x^3-x^2+4x^2-x^3$

$\sf =x^3-x^3-x^2+4x^2$

$\sf =3x^2$

c) $\sf \dfrac{5a^3b+a^2\cdot(a+b)+a^2-a^2b}{a^2}$

$\sf =\dfrac{a^2\cdot[5ab+(a+b)+1-b]}{a^2}$

$\sf =5ab+a+b+1-b$

$\sf =5ab+a+b-b+1$

$\sf =5ab+a+1$

d) $\sf \dfrac{4-x^5-2x^7-1+x\cdot(x^4+x^6)+x^5-2}{x^3}$

$\sf =\dfrac{4-1-2-x^5+x^5-2x^7+x^5+x^7}{x^3}$

$\sf =\dfrac{1-2x^7+x^7+x^5}{x^3}$

$\sf =\dfrac{1-x^7+x^5}{x^3}$

$\sf =\dfrac{1}{x^3}-x^4+x^2$

e) $\sf \dfrac{(x^3+x)^2}{x^2}$

$\sf =\dfrac{x^6+2x^4+x^2}{x^2}$

$\sf =x^4+2x^2+1$