Zastosuj wzory skróconego mnożenia. (Obliczenia) Uprość wyrażenie:   a)     (5y+1)(1-5y)-(1+5y)²=   b)    (x-3)(x+3)+(2+x)(2-x)=   c)    (2y-3)²-(3y-2)(3y+2)=   d)    (2x-y)(2x+y)+(3x+2y)(3x-2y)=   e)    (y+3x)(3x-y)-(x-5y)(x+5y)=

a) (5y+1)(1-5y) -(1+5y)^2 =(1+5y)(1-5Y) -(1+5y)^2 = =1-25y^2 -(1+10y+25y^2) =1-25y^2-1-10y - 25y^2= = -50y^2 -10y = -10(5y^2+y) = -10y(5y+1) b) (x-3)(x=3) +(2+x)(2-x) =x^2 -9 + 4 -x^2 = -5 c) (2y-3)^2 -(3y-2)(3y+2) =4y^2-12y +9 -(9y^2 -4) = = 4y^2 -12y +9 -9y^2 +4 = -5y^2 -12y +13 d) (2x-y)(2x+y) +(3x+2y)(3x-2y) =4x^2 -y^2 +9x^2 -4y^2 =13x^2 -5y^2 e) (y+3x)(3x-y) -(x-5y)(x+5y) =(3x+y)(3x-y) -(x-5y)(x+5y) = =9x^2 -y^2 -(x^2 -25y^2) = 9x^2 - y^2 -x^2 +25y^2 = = 8x^2 + 24y^2 = 8(x^2 +3y^2)