Adding and Subtracting Rational Expressions Explained

What is required to add or subtract rational expressions?

• Different denominators

• Common denominators

• Numerical coefficients

• Polynomial numerators only

What is the first step in adding or subtracting rational expressions?

• Combine like terms

• Factor the denominators

• Find the LCD

• Distribute the numerators

What is the result of adding fractions with denominators 7 and 9?

• 16/63

• Negative 62/63

• Positive 62/63

• Cannot be determined

How do you subtract polynomials?

• By dividing the exponents

• By multiplying the bases

• By distributing the negative

• By adding the coefficients

When subtracting polynomials, what must you do with the negative sign?

• Ignore it

• Multiply it by the first term only

• Distribute it across all terms

• Add it to the highest degree term

What is the least common denominator (LCD) for expressions with denominators x and x+4?

• x+x+4

• x^2+4

• x(x+4)

• 4x

What does factoring help to identify in the process of adding/subtracting rational expressions?

• The highest common factor

• The least common multiple

• Missing factors in denominators

• Numerical coefficients

How do you simplify the expression 5x/((x-6)(x-4)) - x/((x-6)(x-4))?

• 5x-x/((x-6)(x-4))

• Cannot be simplified

• 5x^2/((x-6)(x-4))

• 4x/((x-6)(x-4))

In the expression 3/(x^2-25) - 2/(x+5), what factoring technique is used?

• Difference of squares

• Factoring by grouping

• Completing the square

• Factoring out the GCF

How do you handle the subtraction of rational expressions with different denominators?

• By finding a common denominator

• By multiplying the expressions

• By subtracting the denominators first

• By finding a common numerator