Question

.Factoriza o descomponer en factores cambinacion de los caso III y IV

a)a²+2ab+b²-x²

b) m²+2mn+n²-1

c)4x²+20xy+25y²-36

d)16a²-24ax+9x²-1

Answer 1

Respuesta:

a)a²+2ab+b²-x²

(a²+2ab+b²) -x²

(a+b)^2 -x^2

[(a+b) -x][(a+b) +x]

(a+b-x)(a+b+x)

b) m²+2mn+n²-1

(m²+2mn+n²) -1

(m+n)^2 -1

[(m+n) -1][(m+n) +1]

(m+n-1)(m+n+1)

c)4x²+20xy+25y²-36

(4x²+20xy+25y²) -36

(2x+5y)^2 -36

[(2x+5y) -6][(2x+5y) +6]

(2x+5y-6)(2x+5y+6)

d)16a²-24ax+9x²-1

(16a²-24ax+9x²) -1

(4a-3x)^2 -1

[(4a-3x) -1][(4a-3x) +1]

(4a-3x-1)(4a-3x+1)