Question

1. Descompuneți folosind formule de calcul prescurtat:
a) (x²+2x)(x²+2x+4)+3=
b) (x²+x+1)(x²+x+5)+3=
c) x³+5x+8x+4=
d) x³-2x-5x+6=
e) x³-5x-2x+24=

Answer 1

a)

(x²+2x)(x²+2x+4)+3=

x⁴+2x³+4x²+2x³+4x²+8x+3=

x⁴+(2x³+2x³)+(4x²+4x²)+8x+3=

x⁴+4x³+8x²+8x+3

c)

x³+5x+8x+4=

x³+(5x+8x)+4=

x³+13x+4

d)

x³-2x-5x+6=

x³+(-2x-5x)+6=

x³-7x+6

e)

x³-5x-2x+24=

x³+(-5x-2x)+24=

x³-7x+24