Subtraction of Rational Algebraic Expressions
5-xy/9z - 14+8xy/9z = ?
having a hardtime with those two variables
uuighij
To subtract rational algebraic expressions, follow these steps:
Step 1: Simplify each expression individually.
- Simplify the expression on the left side: 5 - xy/9z
- Simplify the expression on the right side: -14 + 8xy/9z
Step 2: Find the least common denominator (LCD) of the denominators in both expressions.
- In this case, the denominators are both 9z, so the LCD is 9z.
Step 3: Adjust the expressions by multiplying the numerators and denominators with appropriate factors to make the denominators equal to the LCD.
- Multiply the left expression by (9z)/(9z) to get (5(9z) - xy)/(9z)
- Multiply the right expression by (9z)/(9z) to get (-14(9z) + 8xy)/(9z)
Step 4: Combine the expressions using the common denominator.
- Now, the expression becomes ((5(9z) - xy) - (14(9z) + 8xy))/(9z)
Step 5: Simplify the resulting expression.
- Simplify the numerators: (45z - xy - 126z - 8xy)
- Combine like terms: (45z - 126z) + (-xy - 8xy)
- Simplify further: -81z - 9xy
So, the simplified expression is -81z - 9xy.