I gimnazjum

Policzmy to razem 1

a) (6x+2)(3x+4)= &nbsp; 6x(3x+4)+2(3x+4)= &nbsp;    =18x2+24x+6x+8= &nbsp;&nbsp; 18x2+30x+8 &nbsp; b) (x+9)(5x−3)= &nbsp; x(5x−3)+9(5x−3)=

a) (x2+x+1)(2x2−x+2)= &nbsp; x2(2x2−x+2)+x(2x2−x+2)+1(x2−x+2)= &nbsp;    =2x4−x3+2x2+2x3−x2+2x+x2−x+2= &nbsp; 2x4+x3+2x2+x+2 &nbsp; b) (3x−2y+4)(5x+2y−3)=

Wzory skróconego mnożenia:&nbsp; (□+Δ)2=□2+2⋅□⋅Δ+Δ2 &nbsp; (□−Δ)2=□2−2⋅□⋅Δ+Δ2 &nbsp; (□−Δ)(□+Δ)=□2−Δ2 &nbsp; &nbsp; a) (5+x)2=52+2⋅5⋅x+x2=

a) (5x+2)(3x+1)(2x+3)=    =[5x(3x+1)+2(3x+1)](2x+3)=    =[15x2+5x+6x+2](2x+3)=    =(15x2+11x+2)(2x+3)=    =(15x2+11x+2)⋅2x+(15x2+11x+2)⋅3=

a) (5a−1)(6a+1)−(3a+2)(4a−2)=    =5a(6a+1)−1(6a+1)−(3a(4a−2)+2(4a−2))=    =30a2+5a−6a−1−(12a2−6a+8a−4)=    =30a2−a−1−(12a2+2a−4)=    =30a2−a−1−12a2−2a+4=

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