Question

Przedstaw w postaci sumy algebraicznej.

a) -(x-1)-x(x+2)=

b) (4 - a)(5+a) + (6-a)(7+a)=

c)-(x+2y) + (-6x - 9y) + (x+1)(x-1)=

d) 5-(x+1)*2+(2x-3)(x+4)=

Answer 1

a) -(x-1)-x(x+2)=-x+1-x²-2x=-x²-3x+1

 

b) (4 - a)(5+a) + (6-a)(7+a)=20+4a-5a-a²+42+6a-7a-a²=-2a²-2a+62

 

c)-(x+2y) + (-6x - 9y) + (x+1)(x-1)=-x-2y-6x-9y+x²-1=x²-7x-11y-1

 

d) 5-(x+1)*2+(2x-3)(x+4)=5-x²-2x-1+2x²+8x-3x-12=x²+3x-8

Answer 2

a)-(x-1)-x(x+2)=-x+1-2x-2=-3x-1

b)(4-a)(5+a)+(6-a)(7+a)=20+4a-5a-a2+42+6a-7a-a2=-2a-2a2+62

c)-(x+2y) + (-6x - 9y) + (x+1)(x-1)=-x-2y-6x-9y+x2+2x-1=-5x-11y+x2+1

d)5-(x+1)*2+(2x-3)(x+4)=5-2x+2+2x2+8x-3x-12=-5+3x+2x2-10