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# Properties of Arithmetic

Understanding the properties of arithmetic will allow you to simplify complex expressions and do difficult calculations in a flash. Just don't divide by 0...

If \( (x+5)(3x + 8) = Ax^2 + Bx + C \), what is the sum of \( A \), \( B\), and \(C\)?

What is the coefficient of \(y\) in the expansion of the expression \[(4x-y+4)(x+2y-1) ?\]

Simplify \[ \left( 9xy - 6y^2 + 15y \right) \div 3y. \]

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