Algebra
Properties of Arithmetic
Evaluate \[ 10 \times \left( \dfrac{1}{2} - \dfrac{3}{5} \right). \]
It is given that
\[ 3(8x + 9 ) + 5x = Nx + M \]
is an algebraic identity. What is the value of \(N\)?
What is the sum of all the coefficients in the expansion of \[2x(5x^3+6x+15)?\]
What is the sum of all the coefficients in the expansion of the following expression: \[3x(6y(x+3)+3x(y+4))?\]
Simplify the expression
\[ 8x + 3y + 2x + 10y. \]