Rationals Flashcard Review

Front

What is the Difference of Squares?

Back

The Difference of Squares is a factoring technique used for expressions of the form a^2 - b^2, which can be factored into (a - b)(a + b).

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Cross-multiply to eliminate the fractions: 5(x - 4) = 1(x + 2).

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What does it mean to factor out the GCF?

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Factoring out the GCF (Greatest Common Factor) involves taking the largest factor common to all terms in a polynomial and factoring it out.

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The solution is w = -2.

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What is the process of simplifying a rational expression?

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To simplify a rational expression, factor the numerator and denominator, then cancel any common factors.

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What is the formula for the sum of two cubes?

Back

The sum of two cubes a^3 + b^3 can be factored as (a + b)(a^2 - ab + b^2).

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What is the formula for the difference of two cubes?

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The difference of two cubes a^3 - b^3 can be factored as (a - b)(a^2 + ab + b^2).

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Back

Cross-multiply to get 5(x - 4) = 1(x + 2), then solve for x.

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What is a rational expression?

Back

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