Use the structure of an expression to identify ways to rewrite it. Apply to polynomial and rational expressions in the context of Algebra II.

Sample Practice Questions (3)

For

x \neq = 0, 1

, which expression is equivalent to

\frac{x ^{2} - 1}{x ^{2} - x}

\frac{x + 1}{x}

\frac{1}{x}

\frac{x - 1}{x}

x + 1

The expression

(\frac{x ^{1/2} y ^{- 2/3}}{x ^{- 1/4} y ^{1/3}})^{6}

is equivalent to:

x^{9/2} y^{- 6}

x^{3/4} y^{- 1}

x^{9/2} y^{- 2}

x^{3/2} y^{- 6}

Which expression is a completely factored form of

x^{3} - 2 x^{2} - 9 x + 18

(x - 2) (x - 3) (x + 3)

(x^{2} - 9) (x - 2)

(x - 2) (x^{2} - 9)

(x + 2) (x - 3) (x + 3)

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