Question

Descompuneti in factori :
a. 3x (5x-2)-2(5x-2)=
b. (3x-1)(x-2)-(4x-3)(3x-1) =
c. 49x^2-36 =
d. 25-(x-1)^2 =
e. 12x^3-8x^2-3x+2 =

Answer 1

a. 3x (5x-2)-2(5x-2)= (5x - 2)(3x - 2) 
b. (3x-1)(x-2)-(4x-3)(3x-1) = (3x-1)(x-2 - 4x + 3) = (3x - 1)(1 - 3x) 
c. 49x^2-36 = (7x + 6)(7x - 6)
d. 25-(x-1)^2 = (5 + x - 1)( 5 - x + 1) = (4 + x)( 6 - x) 
e. 12x^3-8x^2-3x+2 = 4x^2 (3x - 2) - (3x - 2) = (3x - 2)(4x^2 - 1) = (3x - 2)(2x -1)(2x + 1)