1.) To simplify the expression (1 - x/x+1) : x/xy+y, we first convert the division sign (:) into a multiplication sign (*). Then we simplify the terms by solving the numerators and denominators separately:
(1 - x/x+1) (y / x)= (y/x + y) (y/x)= (y + xy) / x
Therefore, (1 - x/x+1) : x/xy+y simplifies to (y + xy) / x.
2.) To simplify the expression b/a + a^2-b^2/a^2 * a/a+b, we first simplify the terms by solving the numerators and denominators separately:
(b/a) + (a^2-b^2/a^2) (a/a+b)= (b/a) + ((a+b)(a-b)/a^2) (a/a+b)= (b/a) + (a-b)/a
Therefore, b/a + a^2-b^2/a^2 * a/a+b simplifies to (b/a) + (a-b)/a.
1.) To simplify the expression (1 - x/x+1) : x/xy+y, we first convert the division sign (:) into a multiplication sign (*). Then we simplify the terms by solving the numerators and denominators separately:
(1 - x/x+1) (y / x)
= (y/x + y) (y/x)
= (y + xy) / x
Therefore, (1 - x/x+1) : x/xy+y simplifies to (y + xy) / x.
2.) To simplify the expression b/a + a^2-b^2/a^2 * a/a+b, we first simplify the terms by solving the numerators and denominators separately:
(b/a) + (a^2-b^2/a^2) (a/a+b)
= (b/a) + ((a+b)(a-b)/a^2) (a/a+b)
= (b/a) + (a-b)/a
Therefore, b/a + a^2-b^2/a^2 * a/a+b simplifies to (b/a) + (a-b)/a.