Question

Uprość wyrażenia :

a) (x+3)(2x-2)-(x-7)+5x-3

b)4(x+3)-(x-1)(x-7)

c)20-4(2x-8x+1)+3

Answer 1

a) (x+3)(2x-2)-(x-7)+5x-3 = 2x² - 2x + 6x - 6 - x + 7 + 5x - 3 = 2x² + 8x - 2

 

b)4(x+3)-(x-1)(x-7) = 4x + 12 - (x² - 7x - x + 7) = 4x + 12 - x² + 7x + x - 7 = -x² + 12x + 5

 

c)20-4(2x-8x+1)+3 = 20 - 8x + 32x - 4 + 3 = 19 + 24x

Answer 2

a)

(x + 3)(2x - 2) - (x - 7) + 5x - 3 = 2x² - 2x + 6x - 6 - x + 7 + 5x - 3 = 2x² + 8x - 2

 

b)

4(x + 3) - (x - 1)(x - 7) = 4x + 12 - (x² - 7x - x + 7) = 4x + 12 - x² + 8x - 7 = -x² + 12x + 5

 

c)

20 - 4(2x - 8x + 1) + 3 = 20 - 4(-6x + 1) + 3 = 20 + 24x - 4 + 3 = 24x + 19