Question

Oblicz: (3x-1)(3x+1)+(2x-1)(2x-1)=? (5x+2)(5x+2)-2(x-5)(x+5)=? (2x+y)(2x-y)-3(x-y)(x+y)=?

Answer 1

(3x-1)(3x+1) + (2x-1)(2x-1)= 9x kwadrat - 1 + 4x kwadrat - 4x + 1 = 13x kwadrat - 4x

 

(x-5)(x+5) = x kwadrat - 25

 

(5x+2)(5x+2)-2 = 25x kwadrat + 20x + 4 -2 = 25x kwadrat +20x +2

 

(2x+y)(2x-y) -3(x-y)(x+y) = 4x kwadrat - y kwadrat - 3x kwadrat + 3y kwadrat = x kwadrat +3y kwadrat

Answer 2

(3x-1)(3x+1)+(2x-1)(2x-1)=9x do kwadratu +3x-3x-1+2x do kwadratu-2x-2x+1=11x do kwadratu + 4x

 

(5x+2)(5x+2)-2(x-5)(x+5)= 25x do kwadratu + 10x+10x+4+(-2x+10)(x+5)= 25x do kwadratu + 10x + 10x +4 - 2x do kwadratu - 10x + 10x + 50 = 23x do kwadratu + 20x + 54

 

(2x+y)(2x-y)-3x(x-y)(x+y)= 4x do kwadratu - 2xy + 2xy - y do kwadratu +(-3x+3y)(x+y)= 4x do kwadratu - 2xy + 2xy - y do kwadratu - 3x do kwadratu - 3xy + 3xy+3y do kwadratu = x do kwadratu + 2y do kwadratu