Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to factor the expression $2\pi rh + 2\pi r$.
FactoringExpressions
2025/5/16
We have two equations to solve. The first equation is: $(x+2)^2 - (x-y)(x+y) - 3(y+5) = 0$ The secon...
Systems of EquationsQuadratic EquationsSubstitutionAlgebraic Manipulation
2025/5/16
The problem has two parts: Part 1: Solve the system of linear equations: $x + y = 12$ $2x + 3y = 32$...
Linear EquationsSystems of EquationsWord Problems
2025/5/15
The problem consists of two sub-problems. The first sub-problem asks to solve the following system o...
Linear EquationsSystems of EquationsWord Problems
2025/5/15
A box contains 12 copybooks. Some of the copybooks are priced at 500 L.L. each, and the others are p...
Linear EquationsSystems of EquationsWord Problem
2025/5/15
The problem is to simplify the expression: $\frac{a^2 - 3a}{a^2 - 25} \div \frac{a^2 - 9}{a^2 + 5a}$...
Algebraic ExpressionsSimplificationFactoringRational Expressions
2025/5/15
The problem is to simplify the expression $\frac{x^2-1}{5xy} \cdot \frac{x^2y}{1+x}$.
Algebraic SimplificationRational ExpressionsFactorizationDifference of Squares
2025/5/15
The problem asks us to simplify the expression $8a^2 : \frac{4a^2}{b}$. This is equivalent to dividi...
Algebraic simplificationExponentsFractionsDivision
2025/5/15
The problem is to simplify the given rational expression: $\frac{2u^3 - 12u^2 + 18u}{u^3 - 3u^2}$
Rational ExpressionsSimplificationFactorizationPolynomials
2025/5/15
Simplify the given expression: $\frac{t^3 - 1}{7t^2 + 7t + 7}$.
Algebraic SimplificationPolynomial FactorizationDifference of CubesRational Expressions
2025/5/15