Question

Si me ayudas te daré la corona y te daré 5⭐⭐⭐⭐⭐ estrellas por favooooooor​

Answer 1

RESOLVER:

a) $7a-4b+5c-7a+4b-6c$

$=7a-7a-4b+4b+5c-6c$

$=-4b+4b+5c-6c$

$=5c-6c$

$\boxed{=-c}$

b) $9x-3y+5-x-y+4-5x+4y-9$

$=9x-x-5x-3y-y+4y+5+4-9$

$=3x-3y-y+4y+5+4-9$

$=3x+5+4-9$

$\boxed{=3x}$

c) $5x-7y+8-y+6-4x+9-3x+8y$

$=5x-4x-3x-7y-y+8y+8+6+9$

$=-2x-7y-y+8y+8+6+9$

$=-2x+8+6+9$

$\boxed{=-2x+23}$

d) $4x^2-4xy+y^2-5xy+6x^2-3y^2-6y^2-8xy-9x^2$

$=4x^2+6x^2-9x^2-4xy-5xy-8xy+y^2-3y^2-6y^2$

$=x^2-4xy-5xy-8xy+y^2-3y^2-6y^2$

$=x^2-17xy+y^2-3y^2-6y^2$

$\boxed{=x^2-17xy-8y^2}$

e) $x^3+xy^2+y^3-5x^2y+x^3-y^3+2x^3-4xy^2-5y^3$

$=x^3+x^3+2x^3-5x^2y+xy^2-4xy^2+y^3-y^3-5y^3$

$=4x^3-5x^2y+xy^2-4xy^2+y^3-y^3-5y^3$

$=4x^3-5x^2y-3xy^2+y^3-y^3-5y^3$

$\boxed{=4x^3-5x^2y-3xy^2-5y^3}$

f) $5x-7y+8-y+6-4x+9-3x+8y$

$=5x-4x-3x-7y-y+8y+8+6+9$

$=-2x-7y-y+8y+8+6+9$

$=-2x+8+6+9$

$\boxed{=-2x+23}$

g) $x^2+\frac{2}{3}xy-\frac{1}{6}xy+y^2-\frac{5}{6}xy+\frac{2}{3}y^2$

$=\frac{2}{3}y^2+y^2+\frac{2}{3}xy-\frac{1}{6}xy-\frac{5}{6}xy+x^2$

$=\frac{2}{3}y^2+y^2-\frac{1}{3}xy+x^2$

$=\frac{5}{3}y^2-\frac{1}{3}xy+x^2$

$=\frac{5y^2}{3}-\frac{xy}{3}+x^2$

$\boxed{=\frac{5y^2-xy}{3}+x^2}$

h) $x^2+\frac{2}{3}xy-\frac{1}{6}xy+y^2-\frac{5}{6}xy+\frac{2}{3}y^2$

$=\frac{2}{3}y^2+y^2+\frac{2}{3}xy-\frac{1}{6}xy-\frac{5}{6}xy+x^2$

$=\frac{2}{3}y^2+y^2-\frac{1}{3}xy+x^2$

$=\frac{5}{3}y^2-\frac{1}{3}xy+x^2$

$=\frac{5y^2}{3}-\frac{xy}{3}+x^2$

$\boxed{=\frac{5y^2-xy}{3}+x^2}$

i) $x^3-9x+6x^2-19-11x^2+21x-43+6x^3$

$=x^3+6x^3+6x^2-11x^2-9x+21x-19-43$

$=x^3+6x^3-5x^2-9x+21x-19-43$

$=7x^3-5x^2-9x+21x-19-43$

$=7x^3-5x^2+12x-19-43$

$\boxed{=7x^3-5x^2+12x-62}$

Como no nos dicen si están en paréntesis esa sería la respuesta, pero en caso de que si los tuvieran sería:

$\left(x^3-9x+6x^2-19\right)-\left(-11x^2+21x-43+6x^3\right)$

$=x^3-9x+6x^2-19-\left(-11x^2+21x-43+6x^3\right)$

$=x^3-9x+6x^2-19+11x^2-21x+43-6x^3$

$\boxed{=-5x^3+17x^2-30x+24}$

j) $\left(-a^5b+6a^3b^3\right)-\left(18ab^5+42\right)$

$=-a^5b+6a^3b^3-\left(18ab^5+42\right)$

$\boxed{=-a^5b+6a^3b^3-18ab^5-42}$

k) $\frac{3}{8}x^2+\frac{5}{6}xy-\frac{1}{10}y^2-\frac{3}{5}x^2+2y^2-\frac{8}{10}xy$

$=-\frac{9}{40}x^2+\frac{5}{6}xy-\frac{8}{10}xy-\frac{1}{10}y^2+2y^2$

$=-\frac{9}{40}x^2+\frac{1}{30}xy-\frac{1}{10}y^2+2y^2$

$=-\frac{9}{40}x^2+\frac{1}{30}xy+\frac{19}{10}y^2$

$\boxed{=-\frac{9x^2}{40}+\frac{xy}{30}+\frac{19y^2}{10}}$

Ahora con paréntesis

$\left(\frac{3}{8}x^2+\frac{5}{6}xy-\frac{1}{10}y^2\right)-\left(\frac{3}{5}x^2+2y^2-\frac{8}{10}xy\right)$

$=\frac{3}{8}x^2+\frac{5}{6}xy-\frac{1}{10}y^2-\left(\frac{3}{5}x^2+2y^2-\frac{8}{10}xy\right)$

$=\frac{3x^2}{8}+\frac{5xy}{6}-\frac{y^2}{10}-\left(2y^2+\frac{3x^2-4xy}{5}\right)$

$=\frac{3x^2}{8}+\frac{5xy}{6}-\frac{y^2}{10}-\frac{3x^2-4xy}{5}-2y^2$

$\boxed{=\frac{-27x^2+196xy-252y^2}{120}}$

l) $\left(x^7-3x^5y^2+35x^4y^3-8x^2y^5+60\right)-\left(y^7-60x^4y^3+90x^3y^4-50xy^6-x^2y^5\right)$

$=x^7-3x^5y^2+35x^4y^3-8x^2y^5+60-\left(y^7-60x^4y^3+90x^3y^4-50xy^6-x^2y^5\right)$

$=x^7-3x^5y^2+35x^4y^3-8x^2y^5+60-y^7+60x^4y^3-90x^3y^4+50xy^6+x^2y^5$

$\boxed{=x^7-3x^5y^2+95x^4y^3-90x^3y^4-7x^2y^5+50xy^6-y^7+60}$

m) $x^2+y^2-\left(x^2+2xy+y^2\right)+[-x^2+y^2]$

$=x^2+y^2-\left(x^2+2xy+y^2\right)-x^2+y^2$

$=x^2+y^2-x^2-2xy-y^2-x^2+y^2$

$\boxed{=-x^2-2xy+y^2}$

n) $-\left[-3a-\left(b+\left[-a+\left(2a-b\right)-\left(-a+b\right)\right]+3b\right)+4a\right]$

$=-\left(-3a-\left(b-a+2a-b-\left(-a+b\right)+3b\right)+4a\right)$

$=-\left(4a-3a-\left(2a+2b\right)\right)$

$=-\left(-a-2b\right)$

$=-\left(-a\right)-\left(-2b\right)$

$\boxed{=a+2b}$

o) $x^2-\left\{-7xy+\left[-y^2+\left(-x^2+3xy-2y-2y^2\right)\right]\right\}$

$=x^2-\left(-7xy-y^2-x^2+3xy-2y-2y^2\right)$

$=x^2-\left(-3y^2-4xy-2y-x^2\right)$

$=x^2+3y^2+4xy+2y+x^2$

$\boxed{=2x^2+4xy+3y^2+2y}$

p) $2x+\left[-5x-\left(-2y+\left\{-x+y\right\}\right)\right]$

$=2x-5x-\left(-2y-x+y\right)$

$=2x-5x-\left(-x-y\right)$

$=2x-5x+y+x$

$\boxed{=-2x+y}$

$Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)$