Rational Expressions and Simplification

The video tutorial explains how to subtract rational expressions by first finding a common denominator. It involves determining the least common multiple of the denominators, adjusting the numerators accordingly, and then performing the subtraction. Finally, the result is simplified to its simplest form. The process is similar to subtracting fractions, requiring careful attention to the powers of variables involved.

What is the first step when subtracting rational expressions?

• Find a common denominator

• Find a common numerator

• Divide the expressions

• Multiply the expressions

What is the least common multiple of 7 and 3?

• 10

• 24

• 14

• 21

How many 'm's are needed in the common denominator?

• m

• m^4

• m^3

• m^2

What must you multiply by to adjust the first numerator?

• m^2

• n^4

• 3n^3

• 7m

What operation is performed after adjusting the numerators?

• Addition

• Multiplication

• Division

• Subtraction

What is the result of 18mn^3 - 35mn^3?

• -53mn^3

• 53mn^3

• -17mn^3

• 17mn^3

What is the simplified form of the expression?

• -17m/21n

• -17mn^3/21

• -17/21m^2n^4

• -17/21mn

Which number is prime and cannot be simplified further?

• 35

• 17

• 18

• 21

What do you divide both the numerator and denominator by to simplify?

• m and n^3

• n^4

• 7 and 3

• m^2

What is the final denominator in the simplest form?

• 21m^3n^2

• 21mn^3

• 21mn

• 21m^2n^4