Question

1) 3x(x-1)-x(2-3x)+5x-(x²)
2) 4x(2x+1)-2(2x+1)
3) (x+3√2)²
4) (2√3x-1)²
5) (x-2)²-(x-2)(x+2)+4x-4
6) (2x-3)²- 80=1

Answer 1

Bună,


1) 3x(x-1)-x(2-3x)+5x-(x²) =
3x²-3x-2x+3x²+5x-x² = 5x².

2) 4x(2x+1)-2(2x+1) =
8x²+4x-4x-2 = 8x²-2 = 2(4x²-1) = 2(2x-1)(2x+1).

3) (x+3√2)² = x²+6x√2+18.

4) (2√3x-1)² = 12x²-4√3x+1.

5) (x-2)²-(x-2)(x+2)+4x-4 =
x²-4x+4-(x²-4)+4x-4 =
x²-x²+4 = 4.

6) (2x-3)²-80 = 1
4x²-12x+9-80 = 1
4x²-12x-71 = 1
4x²-12x-70 = 0.


Succes!