Question

simplify the following algebraic fractions step by step. urgent.
1) a^2/3-b^2/5
2) 5/3x+3y-x/x^2-xy

Answer 1

Step-by-step explanation:

a^2÷3 - b^2÷5

= 5a^2-3b^2/15

2. 5/3x + 3y-x/x^2-xy

= 5 (x^2-xy) + 9xy - 3x^2 / 3x * x^2-xy

= 5x^2 - 5xy + 9xy - 3x^2 / 3x * x^2-xy

= 2x^2 - 4xy / 3x * x^2 - xy

= 2 ( x^2 - 2xy) / 3x ( x^2 - xy)

= 4 ( x^2 - xy) / 3x ( x^2 - xy)

= 4/3x