Question

Uprość wyrażenia:
a) (x-4) * (x-4) - (x+2) * (x-2)
b) (x+2) * (x+2) + 2(3x+1) * (5x-1)
c) (2a+5) * (2a+5) - 3a(a-4)
d) (3x-2) * (3x+2) - (3x-2) * (3x-2 + 8
e) - (6x-3) * (x+3) - (6x-3) do potęgi 2 + 18

Answer 1

a) (x-4) * (x-4) - (x+2) * (x-2) = x²-4x-4x+16-x²-2x+2x-4= -8x+12

b) (x+2) * (x+2) + 2(3x+1) * (5x-1)= x²+2x+2x+4+ (6x+2)*(5x-1)=
           x²+4x+4+30x²-6x+10x-2= 31x²+8x+2

c) (2a+5) * (2a+5) - 3a(a-4) = 4a²+10a+10a+25-3a²+12 = a²+20a+37

d) (3x-2) * (3x+2) - (3x-2) * (3x-2) + 8 = 9x²+6x-6x-4-9x²-6x-6x+4+8= -12x+8

e) - (6x-3) * (x+3) - (6x-3)² + 18 = -6x²-18x-3x-9-36x²-18x-18x+9+18=
           -42x²-57x+18