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Simplify the expression (6p^2 - 150)/(p^2 -3x -40)

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Simplify the expression \(\frac{6p^2-150}{p^2-3x-40}\)

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\(\frac{6p^2-150}{p^2-3x-40}\) = \(\frac{6(p^2-25)}{p^2-8x+5x-40}\)

= \(\frac{6(p-5)(p+5)}{p(p-8)+5(p-8)}\) = \(\frac{6(p-5)(p+5)}{(p-8)(p+8)}\) = \(\frac{6(p-5)}{p-8}.\)

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