Question

How to solve subtracting rational coefficients

Answer 1

Subtracting rational coefficients with exponential terms involves dividing the numeric coefficients, subtracting the exponents, eliminating terms for simplification, and checking the reasonableness of the answer.

Step-by-step explanation:

To subtract rational coefficients, especially when dealing with exponential terms, follow these steps:

• Divide the digit term of the numerator by the digit term of the denominator.
• Subtract the exponents of the exponential terms when dealing with division.
• Eliminate terms wherever possible to simplify the algebra.
• Always check the answer to see if it is reasonable.

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When applying these steps to fractions, remember to handle both numerators and denominators carefully and to simplify by common factors if necessary. Your intuition can assist in visualizing the process, as similar concepts apply in regular arithmetic. In calculations involving oxidation numbers, use coefficients to balance the equation where the increase in oxidation number is equal to the decrease.

Answer 2

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.