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Exercise

$-\frac{1}{9}\left(\frac{8}{9}\right)^kx^k+\frac{1}{6}\left(\frac{3}{2}\right)^kx^k$

Step-by-step Solution

1

Factor the polynomial $-\frac{1}{9}\left(\frac{8}{9}\right)^kx^k+\frac{1}{6}\left(\frac{3}{2}\right)^kx^k$ by it's greatest common factor (GCF): $x^k$

$x^k\left(-\frac{1}{9}\left(\frac{8}{9}\right)^k+\frac{1}{6}\left(\frac{3}{2}\right)^k\right)$

Final answer to the exercise

$x^k\left(-\frac{1}{9}\left(\frac{8}{9}\right)^k+\frac{1}{6}\left(\frac{3}{2}\right)^k\right)$

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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