LUDZIEE PILNE PROSZE!!!!! Doprowadź wyrażenia do najprostszej postaci: a) (x-2) (x(do kwadratu)- 3x-1) b) (4-3x+2x(do kwadratu)) (2x-3) c) (2a-b) (3a+4b) - 2 (a+3b) (b-2a) d) -(4a-3b) (a-b) +3 (a+2b) (b-3a)
martaryba229
A) (x-2)(x²-3x-1)=x³-3x²-x-2x²+6x+2=x³-5x²+5x+2 b) (4-3x+2x²)(2x-3)=8x-6x²+4x³-12+9x-6x²=4x³-12x²+17x-12 c) (2a-b)(3a+4b)-2(a+3b)(b-2a)=6a²+8ab-3ab-4b²-2(ab-2a²+3b²-6ab)= 6a²-4b²+5ab-2ab+4a²-6b²+12ab=10a²-10b²+15ab d) -(4a-3b)(a-b)+3(a+2b)(b-3a)=-(4a²-4ab-3ab+3b²)+3(ab-3a²+2b²-6ab)= -4a²+4ab+3ab-3b²+3ab-9a²+6b²-18ab=-13a²+3b²-8ab
(x-2)(x²-3x-1)=x³-3x²-x-2x²+6x+2=x³-5x²+5x+2
b)
(4-3x+2x²)(2x-3)=8x-6x²+4x³-12+9x-6x²=4x³-12x²+17x-12
c)
(2a-b)(3a+4b)-2(a+3b)(b-2a)=6a²+8ab-3ab-4b²-2(ab-2a²+3b²-6ab)= 6a²-4b²+5ab-2ab+4a²-6b²+12ab=10a²-10b²+15ab
d)
-(4a-3b)(a-b)+3(a+2b)(b-3a)=-(4a²-4ab-3ab+3b²)+3(ab-3a²+2b²-6ab)= -4a²+4ab+3ab-3b²+3ab-9a²+6b²-18ab=-13a²+3b²-8ab