Question

exercitiul 3 va rog dau coroana!!

Answer 1

Răspuns:

a)  x³+7x²+11x+5

b)  4x³+16x²-35+85

c)  x³+x²-9x-9

d)  4x³-12x²-15x

e)  x²+14+24

f)  x²-10x-11

g) 4(-2x²-3x+9)

h) -15x²+4x+4

Explicație pas cu pas:

a) (x+1)(x+3)²-4(x+1)= (x+1)(x²+6x+9)-4x-4=x³+6x²+9x+x²+6x+9-4x-4=x³+7x²+11x+5

b) (x+5)(2x-1)²-16(x+5)=(x+5)(4x²-4x+1)-16x-80=4x³-4x²+x+20x²-20x+5-16x-80=4x³+16x²-35+85

c) (x-3)(x+2)²-x+3=(x-3)(x²+4x+4)-x+3=x³+4x²+4x-3x²-12x-12-x+3=x³+x²-9x-9

d) (x-4)(2x+1)²-x+4=(x-4)(4x²+4x+1)-x+4=4x³+4x²+x-16x²-16x-4-+4=4x³-12x²-15x

e) (x+7)²-25=x²+14x+49-25=x²+14x+24

f) (x-5)²-36=x²-10x+25-36=x²-10x-11

g) (x-6)²-9x²=x²-12x+36-9x²= -8x²-12x+36=4(-2x²-3x+9)

h) (x+2)²-16x²=x²+4x+4-16x²= -15x²+4x+4