7class Спростити вираз a) (х-1)(х^2-2x+2) b) (a+2)(a-5)+3a c) 3x(x-6)+(2x^2+14) d)...

Question

7class
Спростити вираз
a) (х-1)(х^2-2x+2)
b) (a+2)(a-5)+3a
c) 3x(x-6)+(2x^2+14)
d) (a-b)(a-3)+2a(1-a)

Answer 1

A) (х-1)(х^2-2x+2) = x^3 + 2x^2 + 2x - 2x^2 + 2x - 2 = x^3 + 4x - 2
b) (a+2)(a-5)+3a = a^2 - 5a + 2a - 10 + 3a = a^2 - 10
c) 3x(x-6)+(2x^2+14) = 3x^2 - 18x + 2x^2 + 14 = 5x^2 - 18x + 14
d) ( a-b)(a-3)+2a(1-a) = a^2 - 3a - ab + 3b + 2a -2a^2 = -a^2 - a - ab + 3b