Question

Matematyka Operon do pierwszej Gimnazjum

Zadanie 17 przykład b i d

b) (2x -3) [4 ( x-2) (x-3) + 2 (-3x² + 8x - 10 ) ]

d) [ -4 ( x ² - 10 x - 7 ) + ( 2 x -3 ) (3x - 2 ) ] (2x - 1 )

Answer 1

b) (2x-3)[4(x-2)(x-3)+2(-3x^2+8x-10)]=(2x-3)[4(x^2-3x-2x+6)+(-6x^2+16x-20)]=(2x-3)[(4x^2-12x-8x+24)+(-6x^2+16x-20)]=(2x-3)[4x^2-12x-8x+24-6x^2+16x-20]=(2x-3)[-2x^2-4x+4]=-4x^3-8x^2+8x+6x^2+12x-4=-4x^3-2x^2+20x-4

____________

d) [-4(x^2-10x-7)+(2x-3)(3x-2)](2x-1)=[(-4x^2+40x+27)+(6x^2-4x-9x+6)](2x-1)=[-4x^2+40x+27+6x^2-4x-9x+6](2x-1)=[2x^2+27x+33](2x-1)=4x^3+52x^2+39x-33