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Algebraic Function Variable Substitution - Fractional Squared Terms (Negatives) (Level 3)

This math topic focuses on Algebraic Function Variable Substitution with Fractional Squared Terms, involving negative values. It provides advanced exercises on substituting given variable values into algebraic expressions involving fractions and powers. Participants are guided to calculate the resultant values by plugging in specific numbers for the variables and squaring complex fractional forms. The skill of handling negative numbers within fractions and exponents, crucial for mastering higher-level algebra, is particularly emphasized. Such exercises are useful for enhancing mental arithmetic and algebraic manipulation capabilities.

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Fractional Squared Terms (Negatives)

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What is the value of this equation when p=-5, d=2, x=5

(3p+3x3d)2(\frac{{3p + 3x}}{{3d}})^2