Question

Выполните сложение или вычитание алгебраических дробей. а) y/y+6 + 6/y+6. б) а/а-7 - 4/а ПОМОГИТЕ СРОЧНО​

Answer 1

Ответ:

а) 1

б) а^2-4а+28/а^2 -7а

Answer 2

Solving Algebraic Fractions

a) y/y + 6 - 6/y + 6

To add or subtract algebraic fractions, we need to find a common denominator. In this case, the common denominator is (y + 6)y.

So, the expression becomes: y/y + 6 - 6/y + 6 = (y^2 + 6y - 6y - 36) / (y(y + 6)) = (y^2 - 36) / (y(y + 6))

b) a/a-7 - 4/a

Similarly, for this expression, the common denominator is a(a - 7).

So, the expression becomes: a/a-7 - 4/a = (a^2 - 4a - 4a + 28) / (a(a - 7)) = (a^2 - 8a + 28) / (a(a - 7))

These are the simplified forms of the given algebraic fractions.