Matematicas 1

Expresiones Algebraicas

Factoriza

a) m^2-1+5m (m^2-1) + 4m^2 (m^2-1)

(m^2-1) [1+ 5m + 4m^2]

(m^2-1) [4m^2+ 5m + 1]

(m^2-1) (4m+1) (m+1)

b) m^2r^2 – 9s^2 – 9r^2 + m^2 s^2

m^2r^2 – 9r^2 + m^2s^2 – 9s^2

r^2(m^2 – 9) + S^2(m^2 – 9)

(m^2 – 9)(r^2 + s^2)

(m – 3)(m + 3)(r^2 + s^2)

c) (2x – 26)(x^2 + 2x – 35)

X^2 – 6x – 91

2(x – 13) (x + 7) ( x – 7)

(x – 13)(x + 7)

2 (x – 5)

d) 2w^2 + w – 1

2w^2 + 5x – 3

(2w – 1) (w + 1)

(2w – 1 )(w + 3)

(w + 1)

(w + 3)

e) y^4 – 4y^3 + 10y^2 – 12y + 9 y^2 – 2y + 3 y^4 – 4y^3 + 10y^2 – 12y + 9

y^2 – 2y + 3

Y^4 + 2y^3 – 3y^2

-2y^3 + 7y^2 – 12y + 9

2y^3 – 4 y^2 + 6y + 9

R= -1(- y + 2y – 3) = y – 2y + 3 3y^2 – 6y + 9

-3y^2 + 6y – 9

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