How do you factor the difference of cubes, $$a^3 - b^3$$ ?

The formula is $$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ .

What is the formula for factoring the sum of cubes, $$a^3 + b^3$$ ?

The formula is $$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$$ .

What is the result of multiplying $$\frac{a}{b}$$ by $$\frac{c}{d}$$ ?

The result is $$\frac{ac}{bd}$$ .

What is the result of dividing $$\frac{a}{b}$$ by $$\frac{c}{d}$$ ?

The result is $$\frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}$$ .

What is a common mistake when dividing rational expressions?

A common mistake is forgetting to multiply by the reciprocal of the divisor.

How do you identify the least common denominator (LCD) of rational expressions?

The LCD is the least common multiple of the denominators of the rational expressions.

What is the importance of factoring in multiplying and dividing rational expressions?

Factoring helps to simplify expressions and cancel out common factors.

What is the result of $$\frac{x^2 - 4}{x + 2}$$ when simplified?

The result is $$x - 2$$ after factoring and canceling.

What is the significance of restrictions in rational expressions?

Restrictions are values that make the denominator zero and must be excluded from the domain.

What is the process of finding the domain of a rational expression?

The domain is found by identifying values that make the denominator zero and excluding them.

Multiplying and Dividing Rational Expressions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Tags

CCSS.HSA.APR.D.7

2.

FLASHCARD QUESTION

Front

How do you multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Tags

CCSS.HSA.APR.D.7

3.

FLASHCARD QUESTION

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

4.

FLASHCARD QUESTION

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

5.

FLASHCARD QUESTION

Front

What is the formula for multiplying two binomials?

Back

The formula is (a + b)(c + d) = ac + ad + bc + bd.

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

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