Question

Zapisz w jak najprostszej sumy algebraicznej. 39/54

c) -(y-1)(2y+4) y= √5
d) 2a² - (a+6)(2a-1) a = - ⅓
e) e(x²-1)-(x-3)(x+2) x = 2√3

Answer 1

C) -(y-1)(2y+4)= -(2y²+4y-2y-4)=-2y²-4y+2y+4= -2y²-2y+4=2(√5)² -2√5+4=2x5-2√5+4= 10-2√5+4=14-2√5
d)2a²-(a+6)(2a-1)=2a²-(2a²-a+12a-6)=2a²-2a²+a-12a+6=a-12a+6= -11a+6= -11* (- ⅓) +6= 11/3 +6 = 3,(6)+6=9,(6)
e) (x²-1)-(x-3)(x+2)=x²-1-(x²+2x-3x-6)=x²-1-x²-2x+3x+6= -1+x+6=5+x=5+ 2√3