Odpowiedź :
Cześć!
Zadanie 1
[tex](x+4)(x+3)(x+2)=(x^2+3x+4x+12)(x+2)=\\\\=(x^2+7x+12)(x+2)=x^3+2x^2+7x^2+14x+12x+24=\\\\=\boxed{x^3+9x^2+26x+24}[/tex]
Zadanie 2
[tex]\frac{x+1}{6}+\frac{x-3}{4}-\frac{x-3}{3}=0 \ \ /\cdot12\\\\2(x+1)+3(x-3)-4(x-3)=0\\\\2x+2+3x-9-4x+12=0\\\\x+5=0\\\\\boxed{x=-5}[/tex]
Odpowiedź:
1. [tex](x + 4)(x + 3)(x + 2) = ( {x}^{2} + 3x + 4x + 12)(x + 2) = ( {x}^{2} + 7x + 12)(x + 2) = {x}^{3} + 2 {x}^{2} + 7 {x}^{2} + 14x + 12x + 24 = {x}^{3} + 9 {x}^{2} + 26x + 24 [/tex]
2.
[tex] \frac{x + 1}{6} + \frac{x - 3}{4} - \frac{x - 3}{3} = 0 \: \: \: \: \: ( \times 12 \\ 2(x + 1) +( 3(x - 3)) -(4(x - 3)) = 0 \\ 2x + 2 + (3x - 9) - (4x - 12) = 0 \\ 2x + 2 + 3x - 9 - 4x + 12 = 0 \\ x + 5 = 0 \\ x = - 5 [/tex]