Odpowiedź:
b)
[tex]2(2x - 3)(2x + 3) - 3(x + 5)^{2} + \frac{1}{2}(2x - 1)^{2} + 32(x + 1\frac{1}{2}) =[/tex]
[tex]= 2(4x^{2} - 9) - 3(x^{2} + 10x + 25) + 0,5(4x^{2} - 4x + 1) + 32x + 48 =[/tex]
[tex]= 8x^{2} - 18 - 3x^{2} -30x - 75 + 2x^{2} - 2x + 0,5 + 32x + 48 = 7x^{2} - 44,5[/tex]
c)
[tex]15 - 4(x - 1)(x + 1) + (3x - 2)^{2} - (x + 2)^{2} - 4(x - \frac{3}{2})^{2} =[/tex]
[tex]= 15 - 4(x^{2} - 1) + (9x^{2} - 12x + 4) - (x^{2} + 4x + 4) - 4(x^{2} - 3x + \frac{9}{4}) =[/tex]
[tex]= 15 - 4x^{2} - 4 + 9x^{2} - 12x + 4 - x^{2} - 4x - 4 -4x^{2} + 12x - 9 = - 4x + 2[/tex]
d)
[tex](5 - x)^{2} + 3(x - 2)(x + 2) - 4(x -2\frac{1}{2})^{2} - 10(x - 1) =[/tex]
[tex]= 25 - 10x + x^{2} + 3(x^{2} - 4) - 4(x^{2} - 5x + 2\frac{1}{4}) - 10x - 10 =[/tex]
[tex]= 25 - 10x + x^{2} + 3x^{2} - 12 -4x^{2}+ 20x - 9 - 10x - 10 = -6[/tex]
