Factorizacion

UNIVERSIDAD VIRTUAL DEL ESTADO DE GUANAJUATO

JUAN PABLO GARCIA HERNANDEZ

19001180

MATEMATICAS 1

THALIA ELIZABETH VENEGAS GIL

25. MARZO. 2019

Apartado 1

x3y2 - 25x3

= x³(y²-25)

y²-25

R= x³(y+5)(y-5)

Apartado 2

4x2(b - 2) - 9(b - 2)

4x²(b-2) ; 4x² -8x²                        = -9b-(-9)·2

=4bx²-8x²-9(b-2)                        = -9b+9 ·2

-9(b-2) ; -9b+18                        = -9b+18

a(b-c) =ab-ac                                R= 4bx2 – 8x2 – 9b + 18

-9(b-2)

Apartado 3

64a2 - 225b2

 R= (8a+15b)(8a-15b)

 R= (8a)²-(15b)²

Apartado 4

8x(p + 1) - r(p + 1)

8x(p+1)                                        -r(p+1)                                R= 8xp + x – pr -r

A(b+c) = ab + ac                                a(b+c) = ab +ac

= 8xp+8x·1                                        = -rp + ( -r) · 1

= 8xp + 8 · 1 · x                                + (- a) = -a

= 8xp + 8x                                        = -pr - r

= 8xp + 8x – r (p + 1)                                = -pr - r

Apartado 5

27a3 - 125b3

(3a)³-(5b)³

(3²a²+5·3ab+5²b²)

=(3a-5b)(9a²+15ab+25b²

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