Question

3. Descompune în factori:
a) 18ax - 6ay + 15bx - 5by;
b) x2 + 2y + 9ax2 + 18ay;
c) 10ax + 25ay - 22bx - 55by;
d) x3 + x2 + x + 1;​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 18ax - 6ay + 15bx - 5by; =6a(3x-y)+5b(3x-y)=(3x-y)(6a+5b)

b) x2 + 2y + 9ax2 + 18ay; =x²(1+9a)+2y(1+9a)=(1+9a)(x²+2y)

c) 10ax + 25ay - 22bx - 55by=5a(2x+5y)-11b(2x+5y)=(2x+5y)(3a-11b)

d) x3 + x2 + x + 1=x²(x+1)+(x+1)=(x+1)(x²+1)