Question

funkcja kwadratowa na jutro prosze :(

1) (x-2)²+(2x+1)²

2) (8+1)²-(x+3)²

3) (2x-1)²+2(x+6)²

4) 3(x+1)²-(x+2)²

5) 2(x-1)²-(x+9)²

Answer 1

1) x² - 4x + 4 + 4x² + 4x + 1 = 3x² + 5

2) 81 - (x² + 6x + 9) = 81 - x² - 6x - 9 = -x² - 6x + 72

3) 4x² - 4x + 1 + 2(x² + 12x + 36) = 4x² - 4x + 1 + 2x² + 24x + 72 = 6x² + 20x + 73

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

5) 2(x² - 2x + 1) - (x² + 18x + 81) = 2x² - 4x + 2 - x² - 18x - 81 = x² - 22x - 79

Answer 2

1)(x-2)²+(2x+1)² =(x²-4x+4)+4x²+4x+1=5x²+5

2)(8+1)²-(x+3)²=9²-(x²+6x+9)=81-x²-6x-9=-x²-6x+72

3)(2x-1)²+2(x+6)²=4x²-4x+1+2(x²+12x+36)=4x²-4x+1+2x²+24x+72=6x²+20x+73

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

5)2(x-1)² -(x+9)² =2(x²-2x+1)-(x²+18x+81)=2x²-4x+2 -x²-18x-81=x²-22x-79