Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to factor the expression $x^3 - 27$.
FactoringDifference of CubesPolynomials
2025/6/8
The problem requires us to factor the expression $12x^3 - 5x^2 - 3x$.
Polynomial FactorizationQuadratic EquationsFactoring
2025/6/8
The problem is to factor the expression $xy + 3y + 2x + 6$.
FactoringAlgebraic ExpressionsGrouping
2025/6/8
Factor the expression $9xy^2 + 6x^2y^2 + 21y^3$.
FactoringGreatest Common Factor (GCF)Polynomials
2025/6/8
We need to factor the expression $9m^5n^2 + 12m^3n^3$.
FactoringGreatest Common FactorPolynomials
2025/6/8
We are asked to simplify the rational expression $\frac{6x^2 - 54}{x^2 + 7x + 12}$.
Rational ExpressionsFactoringSimplification
2025/6/8
The problem asks to solve the equation $|5x + 4| + 10 = 2$ for the variable $x$.
Absolute Value EquationsEquation SolvingNo Solution
2025/6/8
We need to solve the equation $\frac{x}{6x-36} - 9 = \frac{1}{x-6}$ for $x$.
EquationsRational EquationsSolving EquationsAlgebraic ManipulationNo Solution
2025/6/8
We are asked to simplify the expression $(x - y)[(2x+y)-(-2y+x)]$.
Algebraic ManipulationSimplificationPolynomialsDistributive Property
2025/6/8
The problem is to simplify the expression $(2x + y) - (-2y + x)$.
Expression SimplificationCombining Like TermsVariables
2025/6/8