Question

Scoateți factor comun:
f) (3x-2)(x²-1)-(2-3x)(x²+1)
d)12a²b-4a²b²+16ab²
b)12x²-8x
c) 18x²y+12xy²

Answer 1

Scoateți factor comun: 
f) (3x-2)(x²-1)-(2-3x)(x²+1) =(3x-2)(x²-1)+(3x-2)(x²+1) =(3x-2)(x²-1+x²+1)=2x²(3x-2)
am introdus semnul ''-'' in paranteza si (2-3x) a devenit (3x-2)
 
d)12a²b-4a²b²+16ab² = 4ab(3a-ab+4b)

b)12x²-8x =4x(3x-2)

c) 18x²y+12xy² =6xy(3x+2y)