Question

Wykonaj mnożenie i przeprowadź redukcję wyrazów podobnych.

(x+1)(x+2)(x+3) =

(2x+3)(3x+4)(4x+5)=

(x+1)(x²+1)(x³+1)=

(1-t)(1+t)(1+t²)(1+t⁴)=

(a²-b²)(a-b)(a+b)=

(2-t)(2+t)(3-t)(3+t)=

Z góry dzięuje!!! :) Daje najj! :))

Answer 1

(x+1)(x+2)(x+3) =(x2+2x+x+2)(x+3)=(x2+3x+2)(x+3)=x3+3x2+3x2+9x+2x+6=x3+6x2+11x+6

(2x+3)(3x+4)(4x+5)=(6x2+8x+9x+12)(4x+5)=(6x2+17x+12)(4x+5)=24x3+30x2+68x2+85x+48x+60=24x3+98x2+133x+60

(x+1)(x²+1)(x³+1)=(x3+x+x2+1)(x3+1)=x6+x3+x4+x+x5+x2+x3+1=x6+x5+x4+2x3+x2+x+1

(1-t)(1+t)(1+t²)(1+t⁴)=nie wiem co ma być w tym kwadraciku,

(a²-b²)(a-b)(a+b)=(a3-a2b-ab2+b3)(a+b)= a4+a3b-a3b-a2b2-a2b2-ab3+ab3+b4=a4+b4-2a2b2

(2-t)(2+t)(3-t)(3+t)=(4+2t-2t-t2)(9+3t-3t-t2)=(4-t2)(9-t2)=36-4t2-9t2+t4=t4-13t2+36