Rozłoż podane sumy algebraiczne na czynniki a) ( a+b)x +(a+b)y b) (5-x)a+(5-x)b c) (2a+b)y-6(2a+b) d) (4z+3)x-(4z+3) e) x²(10a-1) -x(10a-1) f) (7b-5a)(x+y)+(x-y)(7b-5a) prosze o całe rozwiazanie

a) (a+b)•x +(a+b)•y = (a+b)•(x+y) b) (5-x)•a+(5-x)•b = (5-x)•(a+b) c) (2a+b)•y-6•(2a+b) = (2a+b)•(y-6) d) (4z+3)•x-(4z+3) = (4z+3)•(x-1) e) x²•(10a-1) -x•(10a-1) = (10a-1)•(x²-x) = (10a-1)•(x-1)•x f) (7b-5a)•(x+y)+(x-y)•(7b-5a) = (7b-5a)•[(x+y)+(x-y)] = (7b-5a)•2x

a) (a+b)x +(a+b)y = (a+b)(x+y) b) (5-x)a+(5-x)b = (5-x)(a+b) c) (2a+b)y-6(2a+b) = (2a+b)(y-6) d) (4z+3)x-(4z+3) = (4z+3)(x-1) e) x²(10a-1) -x(10a-1) = (10a-1)-(x²-x) = (10a-1)-x(x-1) f) (7b-5a)(x+y)+(x-y)(7b-5a) = (7b-5a)((x+y)+(x-y)) = (7b-5a)2x