Lista Exercícios de Fatoração – 1

Fatorar as expressões a seguir:

EXERCÍCIOS-1

$$ \begin{align} (1a) & \ \ abc+cde \hspace{100cm} \\ (1b) & \ \ abc-abd \\ (1c) & \ \ x+3x \\ (1d) & \ \ x+3y \\ (1e) & \ \ axy+xy-yz\\ (1f) & \ \ ax+by+ay+bx \\ (1g) & \ \ mx+ny-my-nx \\ (1h) & \ \ axy-bxyz+axyz-bxy \\ \end{align} $$

EXERCÍCIOS-2

$$ \begin{align} (2a) & \ \ (a+b)x-z(a+b) \hspace{100cm} \\ (2b) & \ \ xy(a-b)-xz(a-b) \\ (2c) & \ \ (x-y)(a+bc)xy+(a+bc)y \\ (2d) & \ \ axy^2+x^2y \\ (2e) & \ \ axy+xy-yz \\ (2f) & \ \ a^3x^5y^8+a^2x^4y \\ (2g) & \ \ a^6(x+y)^3y^8+a^2(x+y)^4y^{12} \\ (2h) & \ \ (a^2-b^2)^6(x+ \sqrt{z} )^5+(x^3- \sqrt[6]{y})^8+(a-b)^3(x+ \sqrt{z} )^{11}+(x^6- \sqrt[3]{y}) \\ (2i) & \ \ (x+2y)^6(y+2)^8(z-x-y)3-(y+2)^8(x+y-z)^3+a^5(y+2)^2(z-x-y)^6 \\ \end{align} $$

EXERCÍCIOS-3

$$ \begin{align} (3a) & \ \ 3x+6x \hspace{100cm} \\ (3b) & \ \ 12xy+6x \\ (3c) & \ \ 7ab+14xy \\ (3d) & \ \ 5x+6y \\ (3e) & \ \ 15a^3x^7y^2+20a^2x^3z\\ (3f) & \ \ 2a^3(x+y)^5y^7-26a^7(x+y)^4y^6 \\ (3g) & \ \ 12a^6(x+y)^3y^8+18a^2(x+y)^3 \\ \end{align} $$