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Write the proportion as an equation.

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6. (a) Find xx in the following proportion: p3+pq+q2:x::p3−q3:(p−q)2p^3 + pq + q^2 : x :: p^3 - q^3 : (p-q)^2

  1. Write the proportion as an equation.

    p3+pq+q2x=p3−q3(p−q)2\frac{p^3 + pq + q^2}{x} = \frac{p^3 - q^3}{(p-q)^2}

  2. Solve for xx.

    x=(p3+pq+q2)(p−q)2p3−q3x = \frac{(p^3 + pq + q^2)(p-q)^2}{p^3 - q^3}

  3. Use the difference of cubes formula, $p^3 - q^3 = (

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