Question

es de factorizacion

Answer 1

Respuesta:

Explicación paso a paso:

Answer 2

Respuestas:

1.)

a) $4a + 20c = 4a+5 * 4c = 4 ( a + 5c )$

b) $5ax + 15x = 5xa + 3 * 5x = 5x ( a + 3 )$

c) $6xy^2 - 3xy = 6xyy - 3xy =2 * 3xyy - 3xy = 3xy ( 2y - 1 )$

d) $x^5 - x^3 = x^3 ( x^2 - 1 ) = x^3 ( x + 1 ) ( x - 1 )$

e) $22a^3b^4 - 11a^2b^5 = 22a^2ab^4-11a^2b^4b = 2 * 11a^2ab^4 - 11a^2b^4b = 11a^2b^4 ( 2a - b )$

f) $28x^2y - 7xy = 28xxy-7xy = 4 * 7xxy - 7xy = 7xy ( 4x - 1 )$

2.)

a) $2a^4b5 + 7a^3b^2 - 3ab =$

$2 * 5aa^3b + 7aa^2bb - 3ab$ =

$ab ( 2 * 5a^3 + 7a^2b - 3 )$ =

Rta= $ab ( 10a^3 + 7a^2b - 3 )$

b)  $8p^2q^2r^5 - 4p^5q^2r^5 + 2p^4q^4e^3 =$

$=8p^2q^2r^5-4p^2p^3q^2r^5+2p^2p^2q^2q^2e^3$

$=4\cdot \:2q^2p^2r^5-2\cdot \:2q^2p^2p^3r^5+2q^2p^2p^2q^2e^3$

$=4\cdot \:2q^2p^2r^5-2\cdot \:2q^2p^2p^3r^5+2q^2p^2p^2q^2e^3$

Rta=$=2q^2p^2\left(4r^5-2p^3r^5+p^2q^2e^3\right)$

c) $- z^6w^7 + 6z^2w^4 + 9z^2w^3$  

$=-z^2z^4w^3w^4+6z^2w^3w+9z^2w^3$

Rta=$=z^2w^3\left(-z^4w^4+6w+9\right)$

d) $24m^5x^3 - 36m^3x + 42m^4x^5$

$=24xx^2m^3m^2-36xm^3+42xx^4m^3m$

$=4\cdot \:6xx^2m^3m^2+6\cdot \:6xm^3+7\cdot \:6xx^4m^3m$

Rta=$=6xm^3\left(4x^2m^2-6+7x^4m\right)$

e) $16a^2m^3p^6 + 28m^5p^2 - 8a^2mp^6$

$=16a^2mm^2p^2p^4+28mm^4p^2-8a^2mp^2p^4$

$=4\cdot \:4mp^2a^2m^2p^4+7\cdot \:4mp^2m^4-2\cdot \:4mp^2a^2p^4$

Rta=$=4mp^2\left(4a^2m^2p^4+7m^4-2a^2p^4\right)$

f) $12x^6y^6z^3 + 15x^8y^3 + 33x^5z^6$

$=12x^5xy^6z^3+15x^5x^3y^3+33x^5z^6$

$=4\cdot \:3x^5xy^6z^3+5\cdot \:3x^5x^3y^3+11\cdot \:3x^5z^6$

Rta=$=3x^5\left(4xy^6z^3+5x^3y^3+11z^6\right)$

g) $-25c^2b^3d + 10b^2d^5 - 15c^3b^2d$

$=-25c^2b^2bd+10b^2dd^4-15c^3b^2d$

$=-5\cdot \:5db^2c^2b+2\cdot \:5db^2d^4-3\cdot \:5db^2c^3$

Rta=$=5db^2\left(-5c^2b+2d^4-3c^3\right)$

h) $60ax^2 + 70a^3xy + 30x^3y$

$=60axx+70a^3xy+30xx^2y$

$=6\cdot \:10xax+7\cdot \:10xa^3y+3\cdot \:10xx^2y$

Rta=$=10x\left(6ax+7a^3y+3x^2y\right)$

espero que te ayude