DAAAAAAM NAAAAAJ!!!!!!!!!!!!!!!!!!!! Zapisz w postaci jak najprostszej sumy algebraicznej: a) (x+1)(x+4) b) 2(2x+3)(2x-1) c)-(x+7)(x-3) d)1-(z+5)(z-1) e) 2k^-(k+3)(2k+4) ^ do potęgi 2 f)-3(a+2b)(a-b)+3a^
słyszegłoszmarłych
A) (x+1)(x+4)=x^2+5x+4 b) 2(2x+3)(2x-1)=8x^2+8x-6=2(4x^2+4x-3)=8x^2-6 c)-(x+7)(x-3)=-x^2-4x+21=-(x^2+4x-21)=-x^2-4x+21 d)1-(z+5)(z-1)=-z^2-4z+6=-(z^2+4z-6)=-z^2-4z+6 e) 2k^-(k+3)(2k+4) ^2=-10k-12=-2(5k+6)=-10k-12 f)-3(a+2b)(a-b)+3a^2=-3ab+6b^2=3(2b^2-ab)=6b^2-3ab
b) 2(2x+3)(2x-1)=8x^2+8x-6=2(4x^2+4x-3)=8x^2-6
c)-(x+7)(x-3)=-x^2-4x+21=-(x^2+4x-21)=-x^2-4x+21
d)1-(z+5)(z-1)=-z^2-4z+6=-(z^2+4z-6)=-z^2-4z+6
e) 2k^-(k+3)(2k+4) ^2=-10k-12=-2(5k+6)=-10k-12
f)-3(a+2b)(a-b)+3a^2=-3ab+6b^2=3(2b^2-ab)=6b^2-3ab
b) 2 ( 2x² -2x + 6x - 1) = 4x² - 4x + 12x - 2 = 4x² + 8x - 2
c) - (x² -3x + 7x - 21) = -x² + 3x -7x + 21 = -x² - 4x +21
d) 1- z² -z + 5z -5 = -4 -z² + 4z
e) 2k² - 2k² + 4k + 6k + 12 = 10k + 12
f) -3 (a² -ab + 2ab -2b²) +3a² = -3a² +3ab -6ab + 6b² + 3a² = -3ab + 6b²