Question

Descompuneti:
a) (3x-1) totul la a doua -1
b)49xla a doua -100
c)(xla a doua-4x+4)-9yla a doua
d)(1+4x+4x la a doua) -25
e)(2x+5)(3x-1)-4(2x+5)
f)(3x-2)(x+7)+(3x-2)(x-5

Answer 1

Răspuns:

Explicație pas cu pas:

a)

(3x - 1)^2 - 1 = (3x - 1 + 1)(3x - 1 - 1) = 3x*(3x - 2)

b)

49x^2 - 100 = (7x + 10)(7x - 10)

c)

(x^2 - 4x + 4) - 9y^2 = (x - 2)^2 - 9y^2 = (x - 2 + 3y)(x - 2 - 3y)

d)

(1 + 4x + 4x^2) - 25 = (1 + 2x)^2 - 25 = (1 + 2x + 5)(1 + 2x - 5) = (6 + 2x)(2x - 4)

e)

(2x + 5)(3x - 1) - 4(2x + 5) = (2x + 5)(3x - 1 - 4) = (2x + 5)(3x - 5)

f)

(3x - 2)(x + 7) + (3x - 2)(x - 5) = (3x - 2)(x + 7 + x - 5) = (3x - 2)(2x + 2)