Algebra
Quadratic Equations
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 \[ \left( 9xy - 6y^2 + 15y \right) \div 3y. \]
If \( a=-3 \) and \( b=2 \), evaluate \[ \left(a^2 - 3ab \right) \times \frac{1}{3a} + \left(ab -\frac{b^2}{2} \right) \div 2b. \]
Consider the expansion of \( (8x+y) (14 y + x) \). After combining like terms, how many terms are there in the expression?