Wykonaj działania i doprowadź do najprostszej postaci:
a) [ (x - 5) (x + 3) + (2x + 4) (x +1)] (x + 3) =
b) ( 2 - x ) [ (x+ 2) (x - 4) - (2x + 1 ) (-x - 3)] =
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a) [ (x - 5) (x + 3) + (2x + 4) (x +1)] (x + 3) =
=(x² +3x - 5x -15 + 2x² +2x +4x + 4)(x+3)=
=(3x² + 4x -11)(x+3)=
=3x³ +9x² +4x² +12x - 11x - 33=
=3x³ +13x² +x -33
b) ( 2 - x ) [ (x+ 2) (x - 4) - (2x + 1 ) (-x - 3)] =
=(2-x) (x² - 4x +2x -8 +2x² +6x +x +3)=
=(2-x) (3x² +4x -5)=
=6x² +8x - 10 -3x³ -4x² +5x =
= -3x³ +2x² +13x -10
a) [ (x - 5) (x + 3) + (2x + 4) (x +1)] (x + 3) = [
=[x²+3x-5x-15+2x²+2x+4x+4](x+3) =
=[3x²+4x-11](x+3) =
=3x³+4x²-11x+9x²+12x-33=
=3x³+13x²+x-33
b) ( 2 - x ) [ (x+ 2) (x - 4) - (2x + 1 ) (-x - 3)] =
= (2-x)[x²-4x+2x-8 +2x²+6x+x+3]=
=(2-x)[3x²+4x-5]=
=6x²+8x-10-3x³-4x²+5x=
=-3x³+2x²+13x-10